7972280 has 32 divisors (see below), whose sum is σ = 18033840. Its totient is φ = 3171840.

The previous prime is 7972277. The next prime is 7972291. The reversal of 7972280 is 822797.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7972280.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9227 + ... + 10053.

Almost surely, 2^7972280 is an apocalyptic number.

It is an amenable number.

7972280 is an abundant number, since it is smaller than the sum of its proper divisors (10061560).

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

7972280 is a wasteful number, since it uses less digits than its factorization.

7972280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 7972280 is about 2823.5226225409. The cubic root of 7972280 is about 199.7687326802.

The spelling of 7972280 in words is "seven million, nine hundred seventy-two thousand, two hundred eighty".