72024825600 has 1458 divisors, whose sum is σ = 326509242696. Its totient is φ = 15095808000.

The previous prime is 72024825563. The next prime is 72024825619. The reversal of 72024825600 is 652842027.

72024825600 is a `hidden beast` number, since 7 + 2 + 0 + 2 + 48 + 2 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 476985525 + ... + 476985675.

Almost surely, 2^72024825600 is an apocalyptic number.

72024825600 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 72024825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163254621348).

72024825600 is an abundant number, since it is smaller than the sum of its proper divisors (254484417096).

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

72024825600 is a wasteful number, since it uses less digits than its factorization.

72024825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 72024825600 in words is "seventy-two billion, twenty-four million, eight hundred twenty-five thousand, six hundred".