75669264 has 240 divisors, whose sum is σ = 252555264. Its totient is φ = 20908800.

The previous prime is 75669257. The next prime is 75669283. The reversal of 75669264 is 46296657.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1129359 + ... + 1129425.

Almost surely, 2^75669264 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 75669264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126277632).

75669264 is an abundant number, since it is smaller than the sum of its proper divisors (176886000).

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

75669264 is a wasteful number, since it uses less digits than its factorization.

75669264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 75669264 is about 8698.8081942298. The cubic root of 75669264 is about 422.9670178667.

The spelling of 75669264 in words is "seventy-five million, six hundred sixty-nine thousand, two hundred sixty-four".