752131920 has 160 divisors (see below), whose sum is σ = 2463842304. Its totient is φ = 189504000.

The previous prime is 752131909. The next prime is 752131931. The reversal of 752131920 is 29131257.

752131920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (752131909) and next prime (752131931).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318745 + ... + 321095.

Almost surely, 2^752131920 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 752131920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231921152).

752131920 is an abundant number, since it is smaller than the sum of its proper divisors (1711710384).

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

752131920 is a wasteful number, since it uses less digits than its factorization.

752131920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 752131920 is about 27425.0236098349. The cubic root of 752131920 is about 909.4203610537.

The spelling of 752131920 in words is "seven hundred fifty-two million, one hundred thirty-one thousand, nine hundred twenty".