72916958400 has 672 divisors, whose sum is σ = 288017565696. Its totient is φ = 15912960000.

The previous prime is 72916958341. The next prime is 72916958423. The reversal of 72916958400 is 485961927.

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, 28141105 + ... + 28143695.

It is an arithmetic number, because the mean of its divisors is an integer number (428597568).

Almost surely, 2^72916958400 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 72916958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144008782848).

72916958400 is an abundant number, since it is smaller than the sum of its proper divisors (215100607296).

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

72916958400 is a wasteful number, since it uses less digits than its factorization.

72916958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 72916958400 in words is "seventy-two billion, nine hundred sixteen million, nine hundred fifty-eight thousand, four hundred".