7972308 has 18 divisors (see below), whose sum is σ = 20152314. Its totient is φ = 2657424.

The previous prime is 7972297. The next prime is 7972309. The reversal of 7972308 is 8032797.

It can be written as a sum of positive squares in only one way, i.e., 7851204 + 121104 = 2802^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 221453 = 7972308 / (7 + 9 + 7 + 2 + 3 + 0 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7972309) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 110691 + ... + 110762.

It is an arithmetic number, because the mean of its divisors is an integer number (1119573).

Almost surely, 2^7972308 is an apocalyptic number.

It is an amenable number.

7972308 is an abundant number, since it is smaller than the sum of its proper divisors (12180006).

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

7972308 is a wasteful number, since it uses less digits than its factorization.

7972308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221463 (or 221458 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 7972308 is about 2823.5275808818. The cubic root of 7972308 is about 199.7689665538.

It can be divided in two parts, 7 and 972308, that added together give a triangular number (972315 = T₁₃₉₄).

The spelling of 7972308 in words is "seven million, nine hundred seventy-two thousand, three hundred eight".