95742933672672 has 144 divisors (see below), whose sum is σ = 319868437634928. Its totient is φ = 26781240176640.

The previous prime is 95742933672653. The next prime is 95742933672709. The reversal of 95742933672672 is 27627633924759.

95742933672672 is a `hidden beast` number, since 9 + 5 + 7 + 4 + 29 + 336 + 7 + 267 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 95742933672672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1162339033 + ... + 1162421400.

It is an arithmetic number, because the mean of its divisors is an integer number (2221308594687).

Almost surely, 2^{95742933672672} is an apocalyptic number.

It is an amenable number.

95742933672672 is an abundant number, since it is smaller than the sum of its proper divisors (224125503962256).

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

95742933672672 is a wasteful number, since it uses less digits than its factorization.

95742933672672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324760473 (or 2324760462 counting only the distinct ones).

The product of its digits is 1440270720, while the sum is 72.

The spelling of 95742933672672 in words is "ninety-five trillion, seven hundred forty-two billion, nine hundred thirty-three million, six hundred seventy-two thousand, six hundred seventy-two".