73164416 has 32 divisors (see below), whose sum is σ = 156972900. Its totient is φ = 33767424.

The previous prime is 73164409. The next prime is 73164491. The reversal of 73164416 is 61446137.

It can be written as a sum of positive squares in 2 ways, for example, as 72318016 + 846400 = 8504^2 + 920^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20321 + ... + 23648.

Almost surely, 2^73164416 is an apocalyptic number.

It is an amenable number.

73164416 is an abundant number, since it is smaller than the sum of its proper divisors (83808484).

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

73164416 is a wasteful number, since it uses less digits than its factorization.

73164416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43996 (or 43984 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 73164416 is about 8553.6200523521. The cubic root of 73164416 is about 418.2474515990.

The spelling of 73164416 in words is "seventy-three million, one hundred sixty-four thousand, four hundred sixteen".