725082624 has 320 divisors, whose sum is σ = 2514124800. Its totient is φ = 202051584.

The previous prime is 725082593. The next prime is 725082649. The reversal of 725082624 is 426280527.

725082624 is a `hidden beast` number, since 7 + 25 + 0 + 8 + 2 + 624 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 5709249 + ... + 5709375.

It is an arithmetic number, because the mean of its divisors is an integer number (7856640).

Almost surely, 2^725082624 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 725082624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257062400).

725082624 is an abundant number, since it is smaller than the sum of its proper divisors (1789042176).

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

725082624 is a wasteful number, since it uses less digits than its factorization.

725082624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 198 counting only the distinct ones).

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

The square root of 725082624 is about 26927.3582811237. The cubic root of 725082624 is about 898.3850148701.

The spelling of 725082624 in words is "seven hundred twenty-five million, eighty-two thousand, six hundred twenty-four".