753074432 has 72 divisors (see below), whose sum is σ = 1736435232. Its totient is φ = 322150400.

The previous prime is 753074423. The next prime is 753074471. The reversal of 753074432 is 234470357.

It is a super-2 number, since 2×753074432² = 1134242200264245248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 753074392 and 753074401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40007 + ... + 55737.

It is an arithmetic number, because the mean of its divisors is an integer number (24117156).

Almost surely, 2^753074432 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 753074432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868217616).

753074432 is an abundant number, since it is smaller than the sum of its proper divisors (983360800).

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

753074432 is a wasteful number, since it uses less digits than its factorization.

753074432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15775 (or 15761 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 35.

The square root of 753074432 is about 27442.2016609455. The cubic root of 753074432 is about 909.8000736177.

The spelling of 753074432 in words is "seven hundred fifty-three million, seventy-four thousand, four hundred thirty-two".