75312992 has 48 divisors (see below), whose sum is σ = 158124960. Its totient is φ = 35186688.

The previous prime is 75312983. The next prime is 75313001. The reversal of 75312992 is 29921357.

It is an interprime number because it is at equal distance from previous prime (75312983) and next prime (75313001).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90434 + ... + 91262.

It is an arithmetic number, because the mean of its divisors is an integer number (3294270).

Almost surely, 2^75312992 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 75312992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79062480).

75312992 is an abundant number, since it is smaller than the sum of its proper divisors (82811968).

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

75312992 is a wasteful number, since it uses less digits than its factorization.

75312992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1015 counting only the distinct ones).

The product of its digits is 34020, while the sum is 38.

The square root of 75312992 is about 8678.3058254477. The cubic root of 75312992 is about 422.3021577598.

The spelling of 75312992 in words is "seventy-five million, three hundred twelve thousand, nine hundred ninety-two".