7565952 has 128 divisors (see below), whose sum is σ = 22766400. Its totient is φ = 2211840.

The previous prime is 7565951. The next prime is 7565959. The reversal of 7565952 is 2595657.

7565952 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 7565952.

It is not an unprimeable number, because it can be changed into a prime (7565951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124002 + ... + 124062.

Almost surely, 2^7565952 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 7565952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11383200).

7565952 is an abundant number, since it is smaller than the sum of its proper divisors (15200448).

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

7565952 is a wasteful number, since it uses less digits than its factorization.

7565952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its digits is 94500, while the sum is 39.

The square root of 7565952 is about 2750.6275647568. The cubic root of 7565952 is about 196.3154714142.

The spelling of 7565952 in words is "seven million, five hundred sixty-five thousand, nine hundred fifty-two".