65838752 has 72 divisors (see below), whose sum is σ = 152258400. Its totient is φ = 27941760.

The previous prime is 65838737. The next prime is 65838757. The reversal of 65838752 is 25783856.

It is not an unprimeable number, because it can be changed into a prime (65838757) 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, 311927 + ... + 312137.

It is an arithmetic number, because the mean of its divisors is an integer number (2114700).

Almost surely, 2^65838752 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 65838752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76129200).

65838752 is an abundant number, since it is smaller than the sum of its proper divisors (86419648).

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

65838752 is a wasteful number, since it uses less digits than its factorization.

65838752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its digits is 403200, while the sum is 44.

The square root of 65838752 is about 8114.1082073140. The cubic root of 65838752 is about 403.7946216183.

The spelling of 65838752 in words is "sixty-five million, eight hundred thirty-eight thousand, seven hundred fifty-two".