7952544 has 72 divisors (see below), whose sum is σ = 23085972. Its totient is φ = 2595840.

The previous prime is 7952537. The next prime is 7952573. The reversal of 7952544 is 4452597.

It can be written as a sum of positive squares in 2 ways, for example, as 7952400 + 144 = 2820^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 7952499 and 7952508.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15004 + ... + 15524.

Almost surely, 2^7952544 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 7952544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11542986).

7952544 is an abundant number, since it is smaller than the sum of its proper divisors (15133428).

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

7952544 is a wasteful number, since it uses less digits than its factorization.

7952544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 579 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 7952544 is about 2820.0255317993. The cubic root of 7952544 is about 199.6037487767.

The spelling of 7952544 in words is "seven million, nine hundred fifty-two thousand, five hundred forty-four".