74435625 has 80 divisors (see below), whose sum is σ = 150701760. Its totient is φ = 36000000.

The previous prime is 74435591. The next prime is 74435671. The reversal of 74435625 is 52653447.

74435625 = 215² + 216² + ... + 615².

It is not a de Polignac number, because 74435625 - 2⁶ = 74435561 is a prime.

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

Its product of digits (100800) is a multiple of the sum of its prime divisors (420).

It is a self number, because there is not a number n which added to its sum of digits gives 74435625.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 185425 + ... + 185825.

It is an arithmetic number, because the mean of its divisors is an integer number (1883772).

Almost surely, 2^74435625 is an apocalyptic number.

74435625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

74435625 is an abundant number, since it is smaller than the sum of its proper divisors (76266135).

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

74435625 is a wasteful number, since it uses less digits than its factorization.

74435625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 420 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 74435625 is about 8627.6083012617. The cubic root of 74435625 is about 420.6558630403.

The spelling of 74435625 in words is "seventy-four million, four hundred thirty-five thousand, six hundred twenty-five".