7972073904 has 20 divisors (see below), whose sum is σ = 20594524376. Its totient is φ = 2657357952.

The previous prime is 7972073887. The next prime is 7972073933. The reversal of 7972073904 is 4093702797.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 166084873 = 7972073904 / (7 + 9 + 7 + 2 + 0 + 7 + 3 + 9 + 0 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83042389 + ... + 83042484.

Almost surely, 2^7972073904 is an apocalyptic number.

It is an amenable number.

7972073904 is an abundant number, since it is smaller than the sum of its proper divisors (12622450472).

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

7972073904 is a wasteful number, since it uses less digits than its factorization.

7972073904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166084884 (or 166084878 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 48.

The square root of 7972073904 is about 89286.4710020505. The cubic root of 7972073904 is about 1997.6701121987.

The spelling of 7972073904 in words is "seven billion, nine hundred seventy-two million, seventy-three thousand, nine hundred four".