73249665504 has 48 divisors (see below), whose sum is σ = 192295135872. Its totient is φ = 24414680448.

The previous prime is 73249665479. The next prime is 73249665509. The reversal of 73249665504 is 40556694237.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73249665509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1856607 + ... + 1895649.

It is an arithmetic number, because the mean of its divisors is an integer number (4006148664).

Almost surely, 2^73249665504 is an apocalyptic number.

It is an amenable number.

73249665504 is an abundant number, since it is smaller than the sum of its proper divisors (119045470368).

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

73249665504 is a wasteful number, since it uses less digits than its factorization.

73249665504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58599 (or 58591 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 73249665504 in words is "seventy-three billion, two hundred forty-nine million, six hundred sixty-five thousand, five hundred four".