65938752 has 112 divisors (see below), whose sum is σ = 211531200. Its totient is φ = 19975680.

The previous prime is 65938729. The next prime is 65938811. The reversal of 65938752 is 25783956.

It is a happy number.

65938752 is a `hidden beast` number, since 6 + 593 + 8 + 7 + 52 = 666.

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 junction number, because it is equal to n+sod(n) for n = 65938698 and 65938707.

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, 17274 + ... + 20742.

Almost surely, 2^65938752 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 65938752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105765600).

65938752 is an abundant number, since it is smaller than the sum of its proper divisors (145592448).

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

65938752 is a wasteful number, since it uses less digits than its factorization.

65938752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501 (or 3485 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 65938752 is about 8120.2679758737. The cubic root of 65938752 is about 403.9989543482.

The spelling of 65938752 in words is "sixty-five million, nine hundred thirty-eight thousand, seven hundred fifty-two".