7972723 has 16 divisors (see below), whose sum is σ = 9411840. Its totient is φ = 6674400.

The previous prime is 7972693. The next prime is 7972733. The reversal of 7972723 is 3272797.

It is a cyclic number.

It is not a de Polignac number, because 7972723 - 2⁵ = 7972691 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (7972733) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7218 + ... + 8248.

It is an arithmetic number, because the mean of its divisors is an integer number (588240).

Almost surely, 2^7972723 is an apocalyptic number.

7972723 is a deficient number, since it is larger than the sum of its proper divisors (1439117).

7972723 is a wasteful number, since it uses less digits than its factorization.

7972723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098.

The product of its digits is 37044, while the sum is 37.

The square root of 7972723 is about 2823.6010695564. The cubic root of 7972723 is about 199.7724328308.

The spelling of 7972723 in words is "seven million, nine hundred seventy-two thousand, seven hundred twenty-three".