752868 has 24 divisors (see below), whose sum is σ = 1952160. Its totient is φ = 250920.

The previous prime is 752867. The next prime is 752881. The reversal of 752868 is 868257.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (752861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3378 + ... + 3593.

It is an arithmetic number, because the mean of its divisors is an integer number (81340).

2⁷⁵²⁸⁶⁸ is an apocalyptic number.

It is an amenable number.

752868 is an abundant number, since it is smaller than the sum of its proper divisors (1199292).

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

752868 is a wasteful number, since it uses less digits than its factorization.

752868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6984 (or 6976 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 752868 is about 867.6796643923. The cubic root of 752868 is about 90.9716934863.

The spelling of 752868 in words is "seven hundred fifty-two thousand, eight hundred sixty-eight".