75431904 has 96 divisors (see below), whose sum is σ = 209018880. Its totient is φ = 23772672.

The previous prime is 75431903. The next prime is 75431981. The reversal of 75431904 is 40913457.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75431903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280282 + ... + 280550.

It is an arithmetic number, because the mean of its divisors is an integer number (2177280).

Almost surely, 2^75431904 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 75431904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104509440).

75431904 is an abundant number, since it is smaller than the sum of its proper divisors (133586976).

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

75431904 is a wasteful number, since it uses less digits than its factorization.

75431904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 75431904 is about 8685.1542300641. The cubic root of 75431904 is about 422.5242991055.

The spelling of 75431904 in words is "seventy-five million, four hundred thirty-one thousand, nine hundred four".