74553264 has 160 divisors (see below), whose sum is σ = 233318400. Its totient is φ = 22705920.

The previous prime is 74553257. The next prime is 74553289. The reversal of 74553264 is 46235547.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (100800) is a multiple of the sum of its prime factors (360).

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, 254302 + ... + 254594.

It is an arithmetic number, because the mean of its divisors is an integer number (1458240).

Almost surely, 2^74553264 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 74553264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116659200).

74553264 is an abundant number, since it is smaller than the sum of its proper divisors (158765136).

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

74553264 is a wasteful number, since it uses less digits than its factorization.

74553264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 348 counting only the distinct ones).

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

The square root of 74553264 is about 8634.4232001912. The cubic root of 74553264 is about 420.8773496772.

The spelling of 74553264 in words is "seventy-four million, five hundred fifty-three thousand, two hundred sixty-four".