75651264 has 84 divisors (see below), whose sum is σ = 233543856. Its totient is φ = 23275008.

The previous prime is 75651259. The next prime is 75651283. The reversal of 75651264 is 46215657.

It is a happy number.

It is a super-2 number, since 2×75651264² = 11446227489595392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2437 + ... + 12539.

It is an arithmetic number, because the mean of its divisors is an integer number (2780284).

Almost surely, 2^75651264 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 75651264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116771928).

75651264 is an abundant number, since it is smaller than the sum of its proper divisors (157892592).

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

75651264 is a wasteful number, since it uses less digits than its factorization.

75651264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10134 (or 10121 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 75651264 is about 8697.7735082031. The cubic root of 75651264 is about 422.9334771233.

The spelling of 75651264 in words is "seventy-five million, six hundred fifty-one thousand, two hundred sixty-four".