65772864 has 112 divisors (see below), whose sum is σ = 204825600. Its totient is φ = 20625408.

The previous prime is 65772859. The next prime is 65772901. The reversal of 65772864 is 46827756.

65772864 is nontrivially palindromic in base 11.

It is a super-3 number, since 3×65772864³ (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28257 + ... + 30495.

It is an arithmetic number, because the mean of its divisors is an integer number (1828800).

Almost surely, 2^65772864 is an apocalyptic number.

65772864 is a gapful number since it is divisible by the number (64) 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 65772864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102412800).

65772864 is an abundant number, since it is smaller than the sum of its proper divisors (139052736).

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

65772864 is a wasteful number, since it uses less digits than its factorization.

65772864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2261 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 65772864 is about 8110.0471022060. The cubic root of 65772864 is about 403.6598777722.

The spelling of 65772864 in words is "sixty-five million, seven hundred seventy-two thousand, eight hundred sixty-four".