65742720 has 128 divisors (see below), whose sum is σ = 212315040. Its totient is φ = 17301504.

The previous prime is 65742683. The next prime is 65742767. The reversal of 65742720 is 2724756.

65742720 = T₂₅₉ + T₂₆₀ + ... + T₇₄₃.

65742720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186064 + ... + 186416.

Almost surely, 2^65742720 is an apocalyptic number.

65742720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106157520).

65742720 is an abundant number, since it is smaller than the sum of its proper divisors (146572320).

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

65742720 is a wasteful number, since it uses less digits than its factorization.

65742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 65742720 is about 8108.1884536560. The cubic root of 65742720 is about 403.5982019687.

The spelling of 65742720 in words is "sixty-five million, seven hundred forty-two thousand, seven hundred twenty".