7515972 has 36 divisors (see below), whose sum is σ = 20117916. Its totient is φ = 2357760.

The previous prime is 7515971. The next prime is 7515973. The reversal of 7515972 is 2795157.

7515972 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7515971) and next prime (7515973).

It can be written as a sum of positive squares in 2 ways, for example, as 6230016 + 1285956 = 2496^2 + 1134^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7515971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5529 + ... + 6752.

It is an arithmetic number, because the mean of its divisors is an integer number (558831).

Almost surely, 2^7515972 is an apocalyptic number.

It is an amenable number.

7515972 is an abundant number, since it is smaller than the sum of its proper divisors (12601944).

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

7515972 is a wasteful number, since it uses less digits than its factorization.

7515972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12308 (or 12303 counting only the distinct ones).

The product of its digits is 22050, while the sum is 36.

The square root of 7515972 is about 2741.5273115546. The cubic root of 7515972 is about 195.8822352399.

The spelling of 7515972 in words is "seven million, five hundred fifteen thousand, nine hundred seventy-two".