65712400 has 60 divisors (see below), whose sum is σ = 170031652. Its totient is φ = 24261120.

The previous prime is 65712397. The next prime is 65712419. The reversal of 65712400 is 421756.

It can be written as a sum of positive squares in 6 ways, for example, as 19254544 + 46457856 = 4388^2 + 6816^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1119 + ... + 11518.

Almost surely, 2^65712400 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 65712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85015826).

65712400 is an abundant number, since it is smaller than the sum of its proper divisors (104319252).

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

65712400 is a wasteful number, since it uses less digits than its factorization.

65712400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12668 (or 12657 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 65712400 is about 8106.3185232262. The cubic root of 65712400 is about 403.5361470412.

The spelling of 65712400 in words is "sixty-five million, seven hundred twelve thousand, four hundred".