65972124 has 48 divisors (see below), whose sum is σ = 172381440. Its totient is φ = 21818160.

The previous prime is 65972113. The next prime is 65972143. The reversal of 65972124 is 42127956.

It is a super-2 number, since 2×65972124² = 8704642290142752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11817 + ... + 16479.

It is an arithmetic number, because the mean of its divisors is an integer number (3591280).

Almost surely, 2^65972124 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 65972124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86190720).

65972124 is an abundant number, since it is smaller than the sum of its proper divisors (106409316).

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

65972124 is a wasteful number, since it uses less digits than its factorization.

65972124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4807 (or 4799 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 65972124 is about 8122.3225742395. The cubic root of 65972124 is about 404.0670982891.

The spelling of 65972124 in words is "sixty-five million, nine hundred seventy-two thousand, one hundred twenty-four".