65742144 has 56 divisors (see below), whose sum is σ = 187330080. Its totient is φ = 20227584.

The previous prime is 65742137. The next prime is 65742163. The reversal of 65742144 is 44124756.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10674 + ... + 15665.

It is an arithmetic number, because the mean of its divisors is an integer number (3345180).

Almost surely, 2^65742144 is an apocalyptic number.

65742144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

65742144 is an abundant number, since it is smaller than the sum of its proper divisors (121587936).

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

65742144 is a wasteful number, since it uses less digits than its factorization.

65742144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26367 (or 26357 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 65742144 is about 8108.1529339301. The cubic root of 65742144 is about 403.5970232666.

The spelling of 65742144 in words is "sixty-five million, seven hundred forty-two thousand, one hundred forty-four".