65872560 has 160 divisors (see below), whose sum is σ = 225485568. Its totient is φ = 15805440.

The previous prime is 65872531. The next prime is 65872579. The reversal of 65872560 is 6527856.

It is a happy number.

65872560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133915 + ... + 134405.

Almost surely, 2^65872560 is an apocalyptic number.

65872560 is a gapful number since it is divisible by the number (60) 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 65872560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112742784).

65872560 is an abundant number, since it is smaller than the sum of its proper divisors (159613008).

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

65872560 is a wasteful number, since it uses less digits than its factorization.

65872560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 65872560 is about 8116.1912249527. The cubic root of 65872560 is about 403.8637255637.

The spelling of 65872560 in words is "sixty-five million, eight hundred seventy-two thousand, five hundred sixty".