72934364400 has 120 divisors (see below), whose sum is σ = 234819796464. Its totient is φ = 19350374400.

The previous prime is 72934364317. The next prime is 72934364453. The reversal of 72934364400 is 446343927.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82140 + ... + 390660.

Almost surely, 2^72934364400 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 72934364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117409898232).

72934364400 is an abundant number, since it is smaller than the sum of its proper divisors (161885432064).

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

72934364400 is a wasteful number, since it uses less digits than its factorization.

72934364400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308739 (or 308728 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 72934364400 in words is "seventy-two billion, nine hundred thirty-four million, three hundred sixty-four thousand, four hundred".