75268992 has 64 divisors (see below), whose sum is σ = 206415360. Its totient is φ = 24276480.

The previous prime is 75268943. The next prime is 75268997. The reversal of 75268992 is 29986257.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75268997) 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, 8743 + ... + 15065.

It is an arithmetic number, because the mean of its divisors is an integer number (3225240).

Almost surely, 2^75268992 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 75268992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103207680).

75268992 is an abundant number, since it is smaller than the sum of its proper divisors (131146368).

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

75268992 is a wasteful number, since it uses less digits than its factorization.

75268992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6371 (or 6359 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 75268992 is about 8675.7703980684. The cubic root of 75268992 is about 422.2199014133.

The spelling of 75268992 in words is "seventy-five million, two hundred sixty-eight thousand, nine hundred ninety-two".