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72252047234040 = 23355878631188557
BaseRepresentation
bin10000011011011001111101…
…100111000001001111111000
3100110211020011101210202000220
4100123121331213001033320
533432234143042442130
6413400044323300040
721135016041210162
oct2033317547011770
9313736141722026
1072252047234040
1121026a15069413
12812ab2051a620
13314145350173b
1413bb036999932
158546953d0410
hex41b67d9c13f8

72252047234040 has 128 divisors (see below), whose sum is σ = 217377179228160. Its totient is φ = 19212085420544.

The previous prime is 72252047234011. The next prime is 72252047234041. The reversal of 72252047234040 is 4043274025227.

It is a junction number, because it is equal to n+sod(n) for n = 72252047233983 and 72252047234001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72252047234041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60195442 + ... + 61383998.

It is an arithmetic number, because the mean of its divisors is an integer number (1698259212720).

Almost surely, 272252047234040 is an apocalyptic number.

It is an amenable number.

72252047234040 is an abundant number, since it is smaller than the sum of its proper divisors (145125131994120).

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

72252047234040 is a wasteful number, since it uses less digits than its factorization.

72252047234040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190021 (or 1190017 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 42.

The spelling of 72252047234040 in words is "seventy-two trillion, two hundred fifty-two billion, forty-seven million, two hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 587 863 1174 1726 1761 2348 2589 2935 3452 3522 4315 4696 5178 5870 6904 7044 8630 8805 10356 11740 12945 14088 17260 17610 20712 23480 25890 34520 35220 51780 70440 103560 506581 1013162 1188557 1519743 2026324 2377114 2532905 3039486 3565671 4052648 4754228 5065810 5942785 6078972 7131342 7598715 9508456 10131620 11885570 12157944 14262684 15197430 17828355 20263240 23771140 28525368 30394860 35656710 47542280 60789720 71313420 142626840 697682959 1025724691 1395365918 2051449382 2093048877 2790731836 3077174073 3488414795 4102898764 4186097754 5128623455 5581463672 6154348146 6976829590 8205797528 8372195508 10257246910 10465244385 12308696292 13953659180 15385870365 16744391016 20514493820 20930488770 24617392584 27907318360 30771740730 41028987640 41860977540 61543481460 83721955080 123086962920 602100393617 1204200787234 1806301180851 2408401574468 3010501968085 3612602361702 4816803148936 6021003936170 7225204723404 9031505904255 12042007872340 14450409446808 18063011808510 24084015744680 36126023617020 72252047234040