7672431906072 has 24 divisors (see below), whose sum is σ = 20779503079140. Its totient is φ = 2557477302000.

The previous prime is 7672431906053. The next prime is 7672431906089. The reversal of 7672431906072 is 2706091342767.

7672431906072 is a `hidden beast` number, since 7 + 6 + 7 + 24 + 3 + 1 + 9 + 0 + 607 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×7672431906072² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53280777054 + ... + 53280777197.

Almost surely, 2^{7672431906072} is an apocalyptic number.

7672431906072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7672431906072 is an abundant number, since it is smaller than the sum of its proper divisors (13107071173068).

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

7672431906072 is a wasteful number, since it uses less digits than its factorization.

7672431906072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106561554263 (or 106561554256 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 7672431906072 in words is "seven trillion, six hundred seventy-two billion, four hundred thirty-one million, nine hundred six thousand, seventy-two".