7935072 has 24 divisors (see below), whose sum is σ = 20829816. Its totient is φ = 2644992.

The previous prime is 7935071. The next prime is 7935113. The reversal of 7935072 is 2705397.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7935071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41233 + ... + 41424.

It is an arithmetic number, because the mean of its divisors is an integer number (867909).

Almost surely, 2^7935072 is an apocalyptic number.

It is an amenable number.

7935072 is an abundant number, since it is smaller than the sum of its proper divisors (12894744).

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

7935072 is a wasteful number, since it uses less digits than its factorization.

7935072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82670 (or 82662 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 7935072 is about 2816.9259841181. The cubic root of 7935072 is about 199.4574629318.

The spelling of 7935072 in words is "seven million, nine hundred thirty-five thousand, seventy-two".