753872 has 40 divisors (see below), whose sum is σ = 1714176. Its totient is φ = 314496.

The previous prime is 753859. The next prime is 753931. The reversal of 753872 is 278357.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5873 + ... + 5999.

2⁷⁵³⁸⁷² 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 753872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857088).

753872 is an abundant number, since it is smaller than the sum of its proper divisors (960304).

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

753872 is a wasteful number, since it uses less digits than its factorization.

753872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its digits is 11760, while the sum is 32.

The square root of 753872 is about 868.2580261650. The cubic root of 753872 is about 91.0121144762.

The spelling of 753872 in words is "seven hundred fifty-three thousand, eight hundred seventy-two".