72557545576100 has 72 divisors (see below), whose sum is σ = 174144143389608. Its totient is φ = 26066411366400.

The previous prime is 72557545576073. The next prime is 72557545576127. The reversal of 72557545576100 is 167554575527.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72557545576073) and next prime (72557545576127).

It can be written as a sum of positive squares in 12 ways, for example, as 9243314639524 + 63314230936576 = 3040282^2 + 7957024^2 .

It is a super-3 number, since 3×72557545576100³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72557545576100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 754188341 + ... + 754284540.

It is an arithmetic number, because the mean of its divisors is an integer number (2418668658189).

Almost surely, 2^{72557545576100} is an apocalyptic number.

It is an amenable number.

72557545576100 is an abundant number, since it is smaller than the sum of its proper divisors (101586597813508).

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

72557545576100 is a wasteful number, since it uses less digits than its factorization.

72557545576100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508472945 (or 1508472938 counting only the distinct ones).

The product of its (nonzero) digits is 51450000, while the sum is 59.

The spelling of 72557545576100 in words is "seventy-two trillion, five hundred fifty-seven billion, five hundred forty-five million, five hundred seventy-six thousand, one hundred".