73721337251364 has 144 divisors (see below), whose sum is σ = 213482119294080. Its totient is φ = 21232398021120.

The previous prime is 73721337251297. The next prime is 73721337251453. The reversal of 73721337251364 is 46315273312737.

73721337251364 is a `hidden beast` number, since 7 + 3 + 7 + 21 + 3 + 3 + 7 + 251 + 364 = 666.

It is a super-3 number, since 3×73721337251364³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 73721337251364.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24347529 + ... + 27207440.

It is an arithmetic number, because the mean of its divisors is an integer number (1482514717320).

Almost surely, 2^{73721337251364} is an apocalyptic number.

It is an amenable number.

73721337251364 is an abundant number, since it is smaller than the sum of its proper divisors (139760782042716).

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

73721337251364 is a wasteful number, since it uses less digits than its factorization.

73721337251364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51555170 (or 51555165 counting only the distinct ones).

The product of its digits is 13335840, while the sum is 54.

The spelling of 73721337251364 in words is "seventy-three trillion, seven hundred twenty-one billion, three hundred thirty-seven million, two hundred fifty-one thousand, three hundred sixty-four".