72677140704 has 96 divisors (see below), whose sum is σ = 242257155840. Its totient is φ = 20764895616.

The previous prime is 72677140699. The next prime is 72677140733. The reversal of 72677140704 is 40704177627.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 72677140704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6002314 + ... + 6014409.

It is an arithmetic number, because the mean of its divisors is an integer number (2523512040).

Almost surely, 2^72677140704 is an apocalyptic number.

It is an amenable number.

72677140704 is an abundant number, since it is smaller than the sum of its proper divisors (169580015136).

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

72677140704 is a wasteful number, since it uses less digits than its factorization.

72677140704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12016749 (or 12016735 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 72677140704 in words is "seventy-two billion, six hundred seventy-seven million, one hundred forty thousand, seven hundred four".