73251904 has 56 divisors (see below), whose sum is σ = 161044128. Its totient is φ = 32778240.

The previous prime is 73251901. The next prime is 73251931. The reversal of 73251904 is 40915237.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73251901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46392 + ... + 47944.

It is an arithmetic number, because the mean of its divisors is an integer number (2875788).

Almost surely, 2^73251904 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 73251904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80522064).

73251904 is an abundant number, since it is smaller than the sum of its proper divisors (87792224).

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

73251904 is a wasteful number, since it uses less digits than its factorization.

73251904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 73251904 is about 8558.7326164567. The cubic root of 73251904 is about 418.4140948009.

It can be divided in two parts, 7325 and 1904, that added together give a palindrome (9229).

The spelling of 73251904 in words is "seventy-three million, two hundred fifty-one thousand, nine hundred four".