65419872 has 96 divisors (see below), whose sum is σ = 199325952. Its totient is φ = 18399744.

The previous prime is 65419801. The next prime is 65419903. The reversal of 65419872 is 27891456.

65419872 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 44298 + ... + 45750.

It is an arithmetic number, because the mean of its divisors is an integer number (2076312).

Almost surely, 2^65419872 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 65419872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99662976).

65419872 is an abundant number, since it is smaller than the sum of its proper divisors (133906080).

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

65419872 is a wasteful number, since it uses less digits than its factorization.

65419872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1532 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 65419872 is about 8088.2551888525. The cubic root of 65419872 is about 402.9364569670.

The spelling of 65419872 in words is "sixty-five million, four hundred nineteen thousand, eight hundred seventy-two".