752052 has 36 divisors (see below), whose sum is σ = 2042880. Its totient is φ = 214704.

The previous prime is 752033. The next prime is 752053. The reversal of 752052 is 250257.

752052 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752053) by changing a digit.

752052 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52 + ... + 1227.

2⁷⁵²⁰⁵² 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 752052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021440).

752052 is an abundant number, since it is smaller than the sum of its proper divisors (1290828).

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

752052 is a wasteful number, since it uses less digits than its factorization.

752052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 752052 is about 867.2093172931. The cubic root of 752052 is about 90.9388148863.

The spelling of 752052 in words is "seven hundred fifty-two thousand, fifty-two".