75364992 has 96 divisors (see below), whose sum is σ = 224995680. Its totient is φ = 25111296.

The previous prime is 75364987. The next prime is 75365021. The reversal of 75364992 is 29946357.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29893 + ... + 32315.

It is an arithmetic number, because the mean of its divisors is an integer number (2343705).

Almost surely, 2^75364992 is an apocalyptic number.

75364992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75364992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112497840).

75364992 is an abundant number, since it is smaller than the sum of its proper divisors (149630688).

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

75364992 is an equidigital number, since it uses as much as digits as its factorization.

75364992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452 (or 2428 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 75364992 is about 8681.3012849457. The cubic root of 75364992 is about 422.3993285113.

The spelling of 75364992 in words is "seventy-five million, three hundred sixty-four thousand, nine hundred ninety-two".