65071872 has 108 divisors (see below), whose sum is σ = 191105824. Its totient is φ = 21288960.

The previous prime is 65071871. The next prime is 65071889. The reversal of 65071872 is 27817056.

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 (65071871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140313 + ... + 140775.

Almost surely, 2^65071872 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 65071872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95552912).

65071872 is an abundant number, since it is smaller than the sum of its proper divisors (126033952).

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

65071872 is a wasteful number, since it uses less digits than its factorization.

65071872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 65071872 is about 8066.7138290632. The cubic root of 65071872 is about 402.2207149140.

The spelling of 65071872 in words is "sixty-five million, seventy-one thousand, eight hundred seventy-two".