65307072 has 112 divisors (see below), whose sum is σ = 184160160. Its totient is φ = 20385792.

The previous prime is 65307059. The next prime is 65307089. The reversal of 65307072 is 27070356.

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, 205858 + ... + 206174.

Almost surely, 2^65307072 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 65307072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92080080).

65307072 is an abundant number, since it is smaller than the sum of its proper divisors (118853088).

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

65307072 is a wasteful number, since it uses less digits than its factorization.

65307072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 65307072 is about 8081.2791066761. The cubic root of 65307072 is about 402.7047364461.

The spelling of 65307072 in words is "sixty-five million, three hundred seven thousand, seventy-two".