72782625600 has 336 divisors, whose sum is σ = 271496779840. Its totient is φ = 18956851200.

The previous prime is 72782625581. The next prime is 72782625647. The reversal of 72782625600 is 652628727.

72782625600 is a `hidden beast` number, since 7 + 2 + 7 + 82 + 6 + 2 + 560 + 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1838010 + ... + 1877190.

Almost surely, 2^72782625600 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 72782625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135748389920).

72782625600 is an abundant number, since it is smaller than the sum of its proper divisors (198714154240).

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

72782625600 is a wasteful number, since it uses less digits than its factorization.

72782625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39255 (or 39234 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 72782625600 in words is "seventy-two billion, seven hundred eighty-two million, six hundred twenty-five thousand, six hundred".