74390625 has 63 divisors (see below), whose sum is σ = 140408359. Its totient is φ = 37950000.

The previous prime is 74390581. The next prime is 74390629. The reversal of 74390625 is 52609347.

The square root of 74390625 is 8625.

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

It can be written as a sum of positive squares in 3 ways, for example, as 65173329 + 9217296 = 8073^2 + 3036^2 .

It is not a de Polignac number, because 74390625 - 2⁷ = 74390497 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 74390625.

It is not an unprimeable number, because it can be changed into a prime (74390629) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 3234364 + ... + 3234386.

Almost surely, 2^74390625 is an apocalyptic number.

74390625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

74390625 is the 8625-th square number.

74390625 is the 4313-rd centered octagonal number.

It is an amenable number.

74390625 is a deficient number, since it is larger than the sum of its proper divisors (66017734).

74390625 is an frugal number, since it uses more digits than its factorization.

74390625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The cubic root of 74390625 is about 420.5710768924.

Multiplying 74390625 by its sum of digits (36), we get a square (2678062500 = 51750²).

The spelling of 74390625 in words is "seventy-four million, three hundred ninety thousand, six hundred twenty-five".