72557274240 has 576 divisors, whose sum is σ = 279375894720. Its totient is φ = 17205350400.

The previous prime is 72557274221. The next prime is 72557274259. The reversal of 72557274240 is 4247275527.

72557274240 is a `hidden beast` number, since 7 + 2 + 5 + 572 + 74 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72557274221) and next prime (72557274259).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 571317057 + ... + 571317183.

It is an arithmetic number, because the mean of its divisors is an integer number (485027595).

Almost surely, 2^72557274240 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 72557274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139687947360).

72557274240 is an abundant number, since it is smaller than the sum of its proper divisors (206818620480).

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

72557274240 is a wasteful number, since it uses less digits than its factorization.

72557274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 45.

The spelling of 72557274240 in words is "seventy-two billion, five hundred fifty-seven million, two hundred seventy-four thousand, two hundred forty".