73031672880 has 120 divisors (see below), whose sum is σ = 245628622512. Its totient is φ = 19446216192.

The previous prime is 73031672851. The next prime is 73031672933. The reversal of 73031672880 is 8827613037.

73031672880 is a `hidden beast` number, since 7 + 303 + 1 + 67 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412527 + ... + 562353.

Almost surely, 2^73031672880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73031672880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122814311256).

73031672880 is an abundant number, since it is smaller than the sum of its proper divisors (172596949632).

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

73031672880 is a wasteful number, since it uses less digits than its factorization.

73031672880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150523 (or 150514 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 73031672880 in words is "seventy-three billion, thirty-one million, six hundred seventy-two thousand, eight hundred eighty".