74972400 has 60 divisors (see below), whose sum is σ = 240165432. Its totient is φ = 19992320.

The previous prime is 74972399. The next prime is 74972407. The reversal of 74972400 is 427947.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74972407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30039 + ... + 32438.

Almost surely, 2^74972400 is an apocalyptic number.

It is an amenable number.

74972400 is an abundant number, since it is smaller than the sum of its proper divisors (165193032).

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

74972400 is a wasteful number, since it uses less digits than its factorization.

74972400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62498 (or 62487 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 74972400 is about 8658.6604044737. The cubic root of 74972400 is about 421.6645957672.

The spelling of 74972400 in words is "seventy-four million, nine hundred seventy-two thousand, four hundred".