66112728 has 64 divisors (see below), whose sum is σ = 190926720. Its totient is φ = 18854400.

The previous prime is 66112727. The next prime is 66112733. The reversal of 66112728 is 82721166.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66112727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2878 + ... + 11853.

It is an arithmetic number, because the mean of its divisors is an integer number (2983230).

Almost surely, 2^66112728 is an apocalyptic number.

66112728 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

66112728 is an abundant number, since it is smaller than the sum of its proper divisors (124813992).

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

66112728 is a wasteful number, since it uses less digits than its factorization.

66112728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14768 (or 14764 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 66112728 is about 8130.9733734652. The cubic root of 66112728 is about 404.3539524586.

It can be divided in two parts, 6611 and 2728, that added together give a palindrome (9339).

The spelling of 66112728 in words is "sixty-six million, one hundred twelve thousand, seven hundred twenty-eight".