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72061368 = 23317239739
BaseRepresentation
bin1000100101110…
…01000110111000
312000121002121120
410102321012320
5121421430433
611052305240
71533340311
oct422710670
9160532546
1072061368
1137749855
1220172220
1311c10b82
1497db608
1564d67b3
hex44b91b8

72061368 has 64 divisors (see below), whose sum is σ = 191808000. Its totient is φ = 22482432.

The previous prime is 72061337. The next prime is 72061393. The reversal of 72061368 is 86316027.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97143 + ... + 97881.

It is an arithmetic number, because the mean of its divisors is an integer number (2997000).

Almost surely, 272061368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72061368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95904000).

72061368 is an abundant number, since it is smaller than the sum of its proper divisors (119746632).

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

72061368 is a wasteful number, since it uses less digits than its factorization.

72061368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 72061368 is about 8488.8967481057. The cubic root of 72061368 is about 416.1349260310.

The spelling of 72061368 in words is "seventy-two million, sixty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 239 408 478 717 739 956 1434 1478 1912 2217 2868 2956 4063 4434 5736 5912 8126 8868 12189 12563 16252 17736 24378 25126 32504 37689 48756 50252 75378 97512 100504 150756 176621 301512 353242 529863 706484 1059726 1412968 2119452 3002557 4238904 6005114 9007671 12010228 18015342 24020456 36030684 72061368