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72120560012152 = 2319329431054003
BaseRepresentation
bin10000011001011111100000…
…010111000100101101111000
3100110100122202211101210111221
4100121133200113010231320
533423110401330342102
6413215421120001424
721122352465235021
oct2031374027045570
9313318684353457
1072120560012152
1120a86180a47493
128109545760274
133131c2a48cb72
1413b4921b95c48
1585104bbe8637
hex4197e05c4b78

72120560012152 has 128 divisors (see below), whose sum is σ = 151093581408000. Its totient is φ = 32217249101184.

The previous prime is 72120560012099. The next prime is 72120560012201. The reversal of 72120560012152 is 25121006502127.

It is a super-2 number, since 2×721205600121522 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67898383 + ... + 68952385.

It is an arithmetic number, because the mean of its divisors is an integer number (1180418604750).

Almost surely, 272120560012152 is an apocalyptic number.

It is an amenable number.

72120560012152 is an abundant number, since it is smaller than the sum of its proper divisors (78973021395848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72120560012152 is a wasteful number, since it uses less digits than its factorization.

72120560012152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054138 (or 1054096 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

Adding to 72120560012152 its reverse (25121006502127), we get a palindrome (97241566514279).

The spelling of 72120560012152 in words is "seventy-two trillion, one hundred twenty billion, five hundred sixty million, twelve thousand, one hundred fifty-two".

Divisors: 1 2 4 8 19 29 38 43 58 76 86 116 152 172 232 344 361 551 722 817 1102 1247 1444 1634 2204 2494 2888 3268 4408 4988 6536 6859 9976 10469 13718 15523 20938 23693 27436 31046 41876 47386 54872 62092 83752 94772 124184 189544 198911 294937 397822 450167 589874 795644 900334 1054003 1179748 1591288 1800668 2108006 2359496 3601336 4216012 8432024 8553173 17106346 20026057 30566087 34212692 40052114 45322129 61132174 68425384 80104228 90644258 122264348 160208456 181288516 244528696 362577032 380495083 580755653 760990166 861120451 1161511306 1314341741 1521980332 1722240902 2323022612 2628683482 3043960664 3444481804 4646045224 5257366964 6888963608 7229406577 10514733928 11034357407 14458813154 16361288569 22068714814 24972493079 28917626308 32722577138 44137429628 49944986158 57835252616 65445154276 88274859256 99889972316 130890308552 199779944632 209652790733 310864482811 419305581466 474477368501 621728965622 838611162932 948954737002 1243457931244 1677222325864 1897909474004 2486915862488 3795818948008 9015070001519 18030140003038 36060280006076 72120560012152