72495657600 has 768 divisors, whose sum is σ = 258772008960. Its totient is φ = 17805312000.

The previous prime is 72495657593. The next prime is 72495657629. The reversal of 72495657600 is 675659427.

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, 993091164 + ... + 993091236.

It is an arithmetic number, because the mean of its divisors is an integer number (336942720).

Almost surely, 2^72495657600 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 72495657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129386004480).

72495657600 is an abundant number, since it is smaller than the sum of its proper divisors (186276351360).

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

72495657600 is a wasteful number, since it uses less digits than its factorization.

72495657600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 72495657600 in words is "seventy-two billion, four hundred ninety-five million, six hundred fifty-seven thousand, six hundred".