7972638 has 16 divisors (see below), whose sum is σ = 15987456. Its totient is φ = 2650520.

The previous prime is 7972633. The next prime is 7972663. The reversal of 7972638 is 8362797.

It is a super-3 number, since 3×7972638³ (a number of 22 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7972638.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7972633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1045 + ... + 4127.

It is an arithmetic number, because the mean of its divisors is an integer number (999216).

Almost surely, 2^7972638 is an apocalyptic number.

7972638 is an abundant number, since it is smaller than the sum of its proper divisors (8014818).

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

7972638 is a wasteful number, since it uses less digits than its factorization.

7972638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3519.

The product of its digits is 127008, while the sum is 42.

The square root of 7972638 is about 2823.5860178149. The cubic root of 7972638 is about 199.7717228802.

The spelling of 7972638 in words is "seven million, nine hundred seventy-two thousand, six hundred thirty-eight".