72497302732800 has 3024 divisors, whose sum is σ = 306968530256640. Its totient is φ = 16817061888000.

The previous prime is 72497302732787. The next prime is 72497302732817. The reversal of 72497302732800 is 823720379427.

It is a happy number.

72497302732800 is a `hidden beast` number, since 7 + 2 + 4 + 9 + 7 + 302 + 7 + 328 + 0 + 0 = 666.

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 167 ways as a sum of consecutive naturals, for example, 814576435156 + ... + 814576435244.

It is an arithmetic number, because the mean of its divisors is an integer number (101510757360).

Almost surely, 2^{72497302732800} 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 72497302732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153484265128320).

72497302732800 is an abundant number, since it is smaller than the sum of its proper divisors (234471227523840).

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

72497302732800 is an frugal number, since it uses more digits than its factorization.

72497302732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 72497302732800 in words is "seventy-two trillion, four hundred ninety-seven billion, three hundred two million, seven hundred thirty-two thousand, eight hundred".