65629872 has 160 divisors (see below), whose sum is σ = 234984960. Its totient is φ = 17038080.

The previous prime is 65629853. The next prime is 65629903. The reversal of 65629872 is 27892656.

65629872 is a `hidden beast` number, since 6 + 562 + 9 + 87 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32278 + ... + 34250.

It is an arithmetic number, because the mean of its divisors is an integer number (1468656).

Almost surely, 2^65629872 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 65629872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117492480).

65629872 is an abundant number, since it is smaller than the sum of its proper divisors (169355088).

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

65629872 is a wasteful number, since it uses less digits than its factorization.

65629872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1996 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 65629872 is about 8101.2265737973. The cubic root of 65629872 is about 403.3671430044.

The spelling of 65629872 in words is "sixty-five million, six hundred twenty-nine thousand, eight hundred seventy-two".