73116864 has 224 divisors, whose sum is σ = 241401600. Its totient is φ = 21565440.

The previous prime is 73116853. The next prime is 73116877. The reversal of 73116864 is 46861137.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 558079 + ... + 558209.

Almost surely, 2^73116864 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 73116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120700800).

73116864 is an abundant number, since it is smaller than the sum of its proper divisors (168284736).

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

73116864 is a wasteful number, since it uses less digits than its factorization.

73116864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 73116864 is about 8550.8399587409. The cubic root of 73116864 is about 418.1568209610.

The spelling of 73116864 in words is "seventy-three million, one hundred sixteen thousand, eight hundred sixty-four".