66046272 has 56 divisors (see below), whose sum is σ = 175759872. Its totient is φ = 21888000.

The previous prime is 66046249. The next prime is 66046283. The reversal of 66046272 is 27264066.

It is a super-2 number, since 2×66046272² = 8724220090195968, which contains 22 as substring.

It is a congruent number.

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, 35772 + ... + 37572.

Almost surely, 2^66046272 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 66046272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87879936).

66046272 is an abundant number, since it is smaller than the sum of its proper divisors (109713600).

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

66046272 is a wasteful number, since it uses less digits than its factorization.

66046272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 66046272 is about 8126.8857503966. The cubic root of 66046272 is about 404.2184225545.

The spelling of 66046272 in words is "sixty-six million, forty-six thousand, two hundred seventy-two".