66024072 has 56 divisors (see below), whose sum is σ = 185624190. Its totient is φ = 22006080.

The previous prime is 66023987. The next prime is 66024083. The reversal of 66024072 is 27042066.

It can be written as a sum of positive squares in only one way, i.e., 64738116 + 1285956 = 8046^2 + 1134^2 .

It is a super-2 number, since 2×66024072² = 8718356166922368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 172 + ... + 11492.

Almost surely, 2^66024072 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 66024072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92812095).

66024072 is an abundant number, since it is smaller than the sum of its proper divisors (119600118).

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

66024072 is a wasteful number, since it uses less digits than its factorization.

66024072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11345 (or 11326 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 66024072 is about 8125.5197987575. The cubic root of 66024072 is about 404.1731277719.

The spelling of 66024072 in words is "sixty-six million, twenty-four thousand, seventy-two".