66114072 has 96 divisors (see below), whose sum is σ = 194688000. Its totient is φ = 20191680.

The previous prime is 66114067. The next prime is 66114089. The reversal of 66114072 is 27041166.

66114072 is a `hidden beast` number, since 6 + 611 + 40 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41629 + ... + 43187.

It is an arithmetic number, because the mean of its divisors is an integer number (2028000).

Almost surely, 2^66114072 is an apocalyptic number.

66114072 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66114072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97344000).

66114072 is an abundant number, since it is smaller than the sum of its proper divisors (128573928).

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

66114072 is a wasteful number, since it uses less digits than its factorization.

66114072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 66114072 is about 8131.0560199767. The cubic root of 66114072 is about 404.3566924657.

The spelling of 66114072 in words is "sixty-six million, one hundred fourteen thousand, seventy-two".