752652 has 60 divisors (see below), whose sum is σ = 2073456. Its totient is φ = 237600.

The previous prime is 752651. The next prime is 752681. The reversal of 752652 is 256257.

752652 is a `hidden beast` number, since 7 + 5 + 2 + 652 = 666.

752652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4200) is a multiple of the sum of its prime factors (140).

It is not an unprimeable number, because it can be changed into a prime (752651) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7402 + ... + 7502.

2⁷⁵²⁶⁵² 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 752652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036728).

752652 is an abundant number, since it is smaller than the sum of its proper divisors (1320804).

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

752652 is a wasteful number, since it uses less digits than its factorization.

752652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 129 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 752652 is about 867.5551855646. Note that the first 3 decimals coincide. The cubic root of 752652 is about 90.9629926404.

The spelling of 752652 in words is "seven hundred fifty-two thousand, six hundred fifty-two".