73207904 has 144 divisors (see below), whose sum is σ = 188493984. Its totient is φ = 27371520.

The previous prime is 73207903. The next prime is 73207907. The reversal of 73207904 is 40970237.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73207903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1002812 + ... + 1002884.

It is an arithmetic number, because the mean of its divisors is an integer number (1308986).

Almost surely, 2^73207904 is an apocalyptic number.

73207904 is a gapful number since it is divisible by the number (74) 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 73207904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94246992).

73207904 is an abundant number, since it is smaller than the sum of its proper divisors (115286080).

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

73207904 is a wasteful number, since it uses less digits than its factorization.

73207904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 73207904 is about 8556.1617563017. The cubic root of 73207904 is about 418.3303021778.

The spelling of 73207904 in words is "seventy-three million, two hundred seven thousand, nine hundred four".