752390268 has 96 divisors (see below), whose sum is σ = 2104488960. Its totient is φ = 204664320.

The previous prime is 752390209. The next prime is 752390281. The reversal of 752390268 is 862093257.

It is a super-2 number, since 2×752390268² = 1132182230762223648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 175713 + ... + 179943.

It is an arithmetic number, because the mean of its divisors is an integer number (21921760).

Almost surely, 2^752390268 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 752390268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052244480).

752390268 is an abundant number, since it is smaller than the sum of its proper divisors (1352098692).

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

752390268 is a wasteful number, since it uses less digits than its factorization.

752390268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4347 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 752390268 is about 27429.7332834280. The cubic root of 752390268 is about 909.5244740113.

The spelling of 752390268 in words is "seven hundred fifty-two million, three hundred ninety thousand, two hundred sixty-eight".