73188020976 has 160 divisors (see below), whose sum is σ = 227587100160. Its totient is φ = 19798483968.

The previous prime is 73188020963. The next prime is 73188021007. The reversal of 73188020976 is 67902088137.

It is a super-3 number, since 3×73188020976³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18875550 + ... + 18879426.

It is an arithmetic number, because the mean of its divisors is an integer number (1422419376).

Almost surely, 2^73188020976 is an apocalyptic number.

73188020976 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73188020976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113793550080).

73188020976 is an abundant number, since it is smaller than the sum of its proper divisors (154399079184).

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

73188020976 is a wasteful number, since it uses less digits than its factorization.

73188020976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6871 (or 6865 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 73188020976 in words is "seventy-three billion, one hundred eighty-eight million, twenty thousand, nine hundred seventy-six".