65835072 has 112 divisors (see below), whose sum is σ = 199948800. Its totient is φ = 21219840.

The previous prime is 65835061. The next prime is 65835073. The reversal of 65835072 is 27053856.

65835072 is a `hidden beast` number, since 6 + 583 + 5 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (65835073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52954 + ... + 54182.

Almost surely, 2^65835072 is an apocalyptic number.

65835072 is a gapful number since it is divisible by the number (62) 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 65835072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99974400).

65835072 is an abundant number, since it is smaller than the sum of its proper divisors (134113728).

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

65835072 is a wasteful number, since it uses less digits than its factorization.

65835072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 65835072 is about 8113.8814386211. The cubic root of 65835072 is about 403.7870982280.

The spelling of 65835072 in words is "sixty-five million, eight hundred thirty-five thousand, seventy-two".