752752 has 80 divisors (see below), whose sum is σ = 1999872. Its totient is φ = 264960.

The previous prime is 752747. The next prime is 752771. The reversal of 752752 is 257257.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 752752.

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 15 ways as a sum of consecutive naturals, for example, 15993 + ... + 16039.

2⁷⁵²⁷⁵² 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 752752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999936).

752752 is an abundant number, since it is smaller than the sum of its proper divisors (1247120).

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

752752 is a wasteful number, since it uses less digits than its factorization.

752752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 80 counting only the distinct ones).

The product of its digits is 4900, while the sum is 28.

The square root of 752752 is about 867.6128168717. The cubic root of 752752 is about 90.9670210167.

The spelling of 752752 in words is "seven hundred fifty-two thousand, seven hundred fifty-two".