75392768 has 72 divisors (see below), whose sum is σ = 168433776. Its totient is φ = 33382400.

The previous prime is 75392761. The next prime is 75392771. The reversal of 75392768 is 86729357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75392761) 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, 115130 + ... + 115782.

It is an arithmetic number, because the mean of its divisors is an integer number (2339358).

Almost surely, 2^75392768 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 75392768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84216888).

75392768 is an abundant number, since it is smaller than the sum of its proper divisors (93041008).

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

75392768 is a wasteful number, since it uses less digits than its factorization.

75392768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 707 counting only the distinct ones).

The product of its digits is 635040, while the sum is 47.

The square root of 75392768 is about 8682.9008977415. The cubic root of 75392768 is about 422.4512143289.

The spelling of 75392768 in words is "seventy-five million, three hundred ninety-two thousand, seven hundred sixty-eight".