75739968 has 112 divisors (see below), whose sum is σ = 227136960. Its totient is φ = 24740352.

The previous prime is 75739957. The next prime is 75739987. The reversal of 75739968 is 86993757.

75739968 is a `hidden beast` number, since 7 + 573 + 9 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91171 + ... + 91997.

Almost surely, 2^75739968 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 75739968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113568480).

75739968 is an abundant number, since it is smaller than the sum of its proper divisors (151396992).

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

75739968 is a wasteful number, since it uses less digits than its factorization.

75739968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 885 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 75739968 is about 8702.8712503403. The cubic root of 75739968 is about 423.0987144495.

The spelling of 75739968 in words is "seventy-five million, seven hundred thirty-nine thousand, nine hundred sixty-eight".