73672704 has 144 divisors (see below), whose sum is σ = 243603360. Its totient is φ = 21012480.

The previous prime is 73672699. The next prime is 73672727. The reversal of 73672704 is 40727637.

It is a tau number, because it is divible by the number of its divisors (144).

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 11 ways as a sum of consecutive naturals, for example, 128739 + ... + 129309.

It is an arithmetic number, because the mean of its divisors is an integer number (1691690).

Almost surely, 2^73672704 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 73672704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121801680).

73672704 is an abundant number, since it is smaller than the sum of its proper divisors (169930656).

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

73672704 is a wasteful number, since it uses less digits than its factorization.

73672704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 73672704 is about 8583.2804917467. The cubic root of 73672704 is about 419.2137671993.

The spelling of 73672704 in words is "seventy-three million, six hundred seventy-two thousand, seven hundred four".