75652864 has 108 divisors (see below), whose sum is σ = 181519464. Its totient is φ = 31352832.

The previous prime is 75652861. The next prime is 75652877. The reversal of 75652864 is 46825657.

It is a self number, because there is not a number n which added to its sum of digits gives 75652864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75652861) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 464047 + ... + 464209.

Almost surely, 2^75652864 is an apocalyptic number.

75652864 is a gapful number since it is divisible by the number (74) 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 75652864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90759732).

75652864 is an abundant number, since it is smaller than the sum of its proper divisors (105866600).

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

75652864 is a wasteful number, since it uses less digits than its factorization.

75652864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its digits is 403200, while the sum is 43.

The square root of 75652864 is about 8697.8654852786. The cubic root of 75652864 is about 422.9364587382.

The spelling of 75652864 in words is "seventy-five million, six hundred fifty-two thousand, eight hundred sixty-four".