74862432 has 72 divisors (see below), whose sum is σ = 224111160. Its totient is φ = 23639040.

The previous prime is 74862419. The next prime is 74862497. The reversal of 74862432 is 23426847.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1369 + ... + 12312.

It is an arithmetic number, because the mean of its divisors is an integer number (3112655).

Almost surely, 2^74862432 is an apocalyptic number.

74862432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74862432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112055580).

74862432 is an abundant number, since it is smaller than the sum of its proper divisors (149248728).

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

74862432 is a wasteful number, since it uses less digits than its factorization.

74862432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13716 (or 13705 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 74862432 is about 8652.3079002079. The cubic root of 74862432 is about 421.4583318527.

The spelling of 74862432 in words is "seventy-four million, eight hundred sixty-two thousand, four hundred thirty-two".