65372832 has 144 divisors (see below), whose sum is σ = 220514112. Its totient is φ = 18662400.

The previous prime is 65372789. The next prime is 65372849. The reversal of 65372832 is 23827356.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53832 + ... + 55032.

It is an arithmetic number, because the mean of its divisors is an integer number (1531348).

Almost surely, 2^65372832 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 65372832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110257056).

65372832 is an abundant number, since it is smaller than the sum of its proper divisors (155141280).

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

65372832 is a wasteful number, since it uses less digits than its factorization.

65372832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1213 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 65372832 is about 8085.3467458112. The cubic root of 65372832 is about 402.8398569832.

The spelling of 65372832 in words is "sixty-five million, three hundred seventy-two thousand, eight hundred thirty-two".