66765120 has 112 divisors (see below), whose sum is σ = 224503488. Its totient is φ = 16752640.

The previous prime is 66765119. The next prime is 66765121. The reversal of 66765120 is 2156766.

It is an interprime number because it is at equal distance from previous prime (66765119) and next prime (66765121).

It is a super-2 number, since 2×66765120² = 8915162497228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66765121) 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, 14275 + ... + 18365.

Almost surely, 2^66765120 is an apocalyptic number.

66765120 is a gapful number since it is divisible by the number (60) 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 66765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112251744).

66765120 is an abundant number, since it is smaller than the sum of its proper divisors (157738368).

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

66765120 is a wasteful number, since it uses less digits than its factorization.

66765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4128 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 66765120 is about 8170.9925957622. The cubic root of 66765120 is about 405.6796392137.

The spelling of 66765120 in words is "sixty-six million, seven hundred sixty-five thousand, one hundred twenty".