65727252 has 18 divisors (see below), whose sum is σ = 166143978. Its totient is φ = 21909072.

The previous prime is 65727217. The next prime is 65727271. The reversal of 65727252 is 25272756.

It can be written as a sum of positive squares in only one way, i.e., 60279696 + 5447556 = 7764^2 + 2334^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1825757 = 65727252 / (6 + 5 + 7 + 2 + 7 + 2 + 5 + 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 912843 + ... + 912914.

It is an arithmetic number, because the mean of its divisors is an integer number (9230221).

Almost surely, 2^65727252 is an apocalyptic number.

It is an amenable number.

65727252 is an abundant number, since it is smaller than the sum of its proper divisors (100416726).

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

65727252 is a wasteful number, since it uses less digits than its factorization.

65727252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825767 (or 1825762 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 65727252 is about 8107.2345469957. The cubic root of 65727252 is about 403.5665465162.

It can be divided in two parts, 6572 and 7252, that added together give a cube (13824 = 24³).

The spelling of 65727252 in words is "sixty-five million, seven hundred twenty-seven thousand, two hundred fifty-two".