73607904 has 72 divisors (see below), whose sum is σ = 210161952. Its totient is φ = 24437760.

The previous prime is 73607893. The next prime is 73607923. The reversal of 73607904 is 40970637.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 123832 + ... + 124424.

It is an arithmetic number, because the mean of its divisors is an integer number (2918916).

Almost surely, 2^73607904 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 73607904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105080976).

73607904 is an abundant number, since it is smaller than the sum of its proper divisors (136554048).

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

73607904 is a wasteful number, since it uses less digits than its factorization.

73607904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 73607904 is about 8579.5048808192. The cubic root of 73607904 is about 419.0908224314.

The spelling of 73607904 in words is "seventy-three million, six hundred seven thousand, nine hundred four".