752239872 has 90 divisors (see below), whose sum is σ = 2243105018. Its totient is φ = 250739712.

The previous prime is 752239799. The next prime is 752239883. The reversal of 752239872 is 278932257.

It can be written as a sum of positive squares in only one way, i.e., 717382656 + 34857216 = 26784^2 + 5904^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2598 + ... + 38874.

Almost surely, 2^752239872 is an apocalyptic number.

752239872 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 752239872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121552509).

752239872 is an abundant number, since it is smaller than the sum of its proper divisors (1490865146).

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

752239872 is an equidigital number, since it uses as much as digits as its factorization.

752239872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36305 (or 36282 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 752239872 is about 27426.9916687923. The cubic root of 752239872 is about 909.4638680714.

The spelling of 752239872 in words is "seven hundred fifty-two million, two hundred thirty-nine thousand, eight hundred seventy-two".