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72387902500 = 225453812
BaseRepresentation
bin100001101101010100…
…1111011110000100100
320220211211121110021221
41003122221323300210
52141222300340000
653130551550124
75141561006344
oct1033251736044
9226754543257
1072387902500
11287770a1611
121204268b344
136a98088b04
143709c06d24
151d3a09761a
hex10daa7bc24

72387902500 has 45 divisors (see below), whose sum is σ = 158327288581. Its totient is φ = 28949780000.

The previous prime is 72387902441. The next prime is 72387902567. The reversal of 72387902500 is 520978327.

The square root of 72387902500 is 269050.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 65089275876 + 7298626624 = 255126^2 + 85432^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13449810 + ... + 13455190.

Almost surely, 272387902500 is an apocalyptic number.

72387902500 is the 269050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72387902500

72387902500 is an abundant number, since it is smaller than the sum of its proper divisors (85939386081).

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

72387902500 is an frugal number, since it uses more digits than its factorization.

72387902500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10786 (or 5388 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 72387902500 in words is "seventy-two billion, three hundred eighty-seven million, nine hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 5381 10762 21524 26905 53810 107620 134525 269050 538100 672625 1345250 2690500 3363125 6726250 13452500 28955161 57910322 115820644 144775805 289551610 579103220 723879025 1447758050 2895516100 3619395125 7238790250 14477580500 18096975625 36193951250 72387902500