75713904 has 120 divisors (see below), whose sum is σ = 250079232. Its totient is φ = 20926080.

The previous prime is 75713887. The next prime is 75713909. The reversal of 75713904 is 40931757.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75713909) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 30037 + ... + 32459.

Almost surely, 2^75713904 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 75713904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125039616).

75713904 is an abundant number, since it is smaller than the sum of its proper divisors (174365328).

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

75713904 is a wasteful number, since it uses less digits than its factorization.

75713904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 75713904 is about 8701.3736846546. The cubic root of 75713904 is about 423.0501759637.

The spelling of 75713904 in words is "seventy-five million, seven hundred thirteen thousand, nine hundred four".