65872242 has 18 divisors (see below), whose sum is σ = 142797837. Its totient is φ = 21945936.

The previous prime is 65872237. The next prime is 65872249. The reversal of 65872242 is 24227856.

It can be written as a sum of positive squares in 2 ways, for example, as 55041561 + 10830681 = 7419^2 + 3291^2 .

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

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5739.

It is a super-2 number, since 2×65872242² = 8678304532213128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 65872197 and 65872206.

It is not an unprimeable number, because it can be changed into a prime (65872249) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33478 + ... + 35390.

Almost surely, 2^65872242 is an apocalyptic number.

65872242 is an abundant number, since it is smaller than the sum of its proper divisors (76925595).

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

65872242 is an equidigital number, since it uses as much as digits as its factorization.

65872242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3834 (or 1918 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 65872242 is about 8116.1716344592. The cubic root of 65872242 is about 403.8630756782.

It can be divided in two parts, 658 and 72242, that added together give a square (72900 = 270²).

The spelling of 65872242 in words is "sixty-five million, eight hundred seventy-two thousand, two hundred forty-two".