7972496 has 30 divisors (see below), whose sum is σ = 17970390. Its totient is φ = 3416448.

The previous prime is 7972453. The next prime is 7972499. The reversal of 7972496 is 6942797.

It can be written as a sum of positive squares in only one way, i.e., 7840000 + 132496 = 2800^2 + 364^2 .

It is an Ulam number.

It is a d-powerful number, because it can be written as 7³ + 9 + 7³ + 2²¹ + 4¹¹ + 9³ + 6⁸ .

It is not an unprimeable number, because it can be changed into a prime (7972499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4301 + ... + 5868.

It is an arithmetic number, because the mean of its divisors is an integer number (599013).

Almost surely, 2^7972496 is an apocalyptic number.

It is an amenable number.

7972496 is an abundant number, since it is smaller than the sum of its proper divisors (9997894).

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

7972496 is a wasteful number, since it uses less digits than its factorization.

7972496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10191 (or 10178 counting only the distinct ones).

The product of its digits is 190512, while the sum is 44.

The square root of 7972496 is about 2823.5608723737. The cubic root of 7972496 is about 199.7705368340.

The spelling of 7972496 in words is "seven million, nine hundred seventy-two thousand, four hundred ninety-six".