73712713440 has 96 divisors (see below), whose sum is σ = 232232555520. Its totient is φ = 19653548544.

The previous prime is 73712713369. The next prime is 73712713469. The reversal of 73712713440 is 4431721737.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5699301 + ... + 5712219.

It is an arithmetic number, because the mean of its divisors is an integer number (2419089120).

Almost surely, 2^73712713440 is an apocalyptic number.

It is an amenable number.

73712713440 is an abundant number, since it is smaller than the sum of its proper divisors (158519842080).

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

73712713440 is a wasteful number, since it uses less digits than its factorization.

73712713440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24824 (or 24816 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The spelling of 73712713440 in words is "seventy-three billion, seven hundred twelve million, seven hundred thirteen thousand, four hundred forty".