752274432 has 528 divisors, whose sum is σ = 2876935680. Its totient is φ = 189775872.

The previous prime is 752274431. The next prime is 752274451. The reversal of 752274432 is 234472257.

It is a happy number.

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

Its product of digits (94080) is a multiple of the sum of its prime divisors (48).

It is not an unprimeable number, because it can be changed into a prime (752274431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32707573 + ... + 32707595.

Almost surely, 2^752274432 is an apocalyptic number.

752274432 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 752274432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438467840).

752274432 is an abundant number, since it is smaller than the sum of its proper divisors (2124661248).

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

752274432 is a wasteful number, since it uses less digits than its factorization.

752274432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 48 counting only the distinct ones).

The product of its digits is 94080, while the sum is 36.

The square root of 752274432 is about 27427.6216978432. The cubic root of 752274432 is about 909.4777956279.

The spelling of 752274432 in words is "seven hundred fifty-two million, two hundred seventy-four thousand, four hundred thirty-two".