66028872 has 128 divisors (see below), whose sum is σ = 207648000. Its totient is φ = 17385984.

The previous prime is 66028849. The next prime is 66028877. The reversal of 66028872 is 27882066.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 66028872.

It is not an unprimeable number, because it can be changed into a prime (66028877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106708 + ... + 107324.

It is an arithmetic number, because the mean of its divisors is an integer number (1622250).

Almost surely, 2^66028872 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 66028872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103824000).

66028872 is an abundant number, since it is smaller than the sum of its proper divisors (141619128).

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

66028872 is a wasteful number, since it uses less digits than its factorization.

66028872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 66028872 is about 8125.8151591087. The cubic root of 66028872 is about 404.1829220987.

The spelling of 66028872 in words is "sixty-six million, twenty-eight thousand, eight hundred seventy-two".