72715406702400 has 3528 divisors, whose sum is σ = 341192951628480. Its totient is φ = 14921857843200.

The previous prime is 72715406702357. The next prime is 72715406702437. The reversal of 72715406702400 is 420760451727.

72715406702400 is a `hidden beast` number, since 7 + 2 + 7 + 1 + 540 + 67 + 0 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 87926730787 + ... + 87926731613.

Almost surely, 2^{72715406702400} is an apocalyptic number.

72715406702400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72715406702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170596475814240).

72715406702400 is an abundant number, since it is smaller than the sum of its proper divisors (268477544926080).

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

72715406702400 is a wasteful number, since it uses less digits than its factorization.

72715406702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 72715406702400 in words is "seventy-two trillion, seven hundred fifteen billion, four hundred six million, seven hundred two thousand, four hundred".