72497872800 has 576 divisors, whose sum is σ = 272615051520. Its totient is φ = 18579456000.

The previous prime is 72497872781. The next prime is 72497872819. The reversal of 72497872800 is 827879427.

72497872800 is a `hidden beast` number, since 7 + 2 + 497 + 8 + 72 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72497872781) and next prime (72497872819).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62877024 + ... + 62878176.

It is an arithmetic number, because the mean of its divisors is an integer number (473290020).

Almost surely, 2^72497872800 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 72497872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136307525760).

72497872800 is an abundant number, since it is smaller than the sum of its proper divisors (200117178720).

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

72497872800 is a wasteful number, since it uses less digits than its factorization.

72497872800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 72497872800 in words is "seventy-two billion, four hundred ninety-seven million, eight hundred seventy-two thousand, eight hundred".