74815925625 has 135 divisors (see below), whose sum is σ = 157390699323. Its totient is φ = 34135920000.

The previous prime is 74815925599. The next prime is 74815925627. The reversal of 74815925625 is 52652951847.

The square root of 74815925625 is 273525.

It is a perfect power (a square), and thus also a powerful number.

74815925625 is a `hidden beast` number, since 7 + 4 + 8 + 1 + 5 + 9 + 2 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 69049649529 + 5766276096 = 262773^2 + 75936^2 .

It is not a de Polignac number, because 74815925625 - 2¹⁵ = 74815892857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (74815925627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 143600365 + ... + 143600885.

Almost surely, 2^74815925625 is an apocalyptic number.

74815925625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

74815925625 is the 273525-th square number.

74815925625 is the 136763-rd centered octagonal number.

It is an amenable number.

74815925625 is an abundant number, since it is smaller than the sum of its proper divisors (82574773698).

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

74815925625 is an frugal number, since it uses more digits than its factorization.

74815925625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 536 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 74815925625 in words is "seventy-four billion, eight hundred fifteen million, nine hundred twenty-five thousand, six hundred twenty-five".