752739264 has 224 divisors, whose sum is σ = 2362809600. Its totient is φ = 234316800.

The previous prime is 752739257. The next prime is 752739271. The reversal of 752739264 is 462937257.

It is an interprime number because it is at equal distance from previous prime (752739257) and next prime (752739271).

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, 3315919 + ... + 3316145.

Almost surely, 2^752739264 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 752739264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181404800).

752739264 is an abundant number, since it is smaller than the sum of its proper divisors (1610070336).

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

752739264 is a wasteful number, since it uses less digits than its factorization.

752739264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 752739264 is about 27436.0941826638. The cubic root of 752739264 is about 909.6650798250.

The spelling of 752739264 in words is "seven hundred fifty-two million, seven hundred thirty-nine thousand, two hundred sixty-four".