65792672 has 48 divisors (see below), whose sum is σ = 141994944. Its totient is φ = 29760000.

The previous prime is 65792653. The next prime is 65792711. The reversal of 65792672 is 27629756.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a zygodrome in base 4.

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, 109172 + ... + 109772.

It is an arithmetic number, because the mean of its divisors is an integer number (2958228).

Almost surely, 2^65792672 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 65792672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70997472).

65792672 is an abundant number, since it is smaller than the sum of its proper divisors (76202272).

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

65792672 is a wasteful number, since it uses less digits than its factorization.

65792672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 925 counting only the distinct ones).

The product of its digits is 317520, while the sum is 44.

The square root of 65792672 is about 8111.2682115684. The cubic root of 65792672 is about 403.7003954561.

The spelling of 65792672 in words is "sixty-five million, seven hundred ninety-two thousand, six hundred seventy-two".