66792720 has 160 divisors (see below), whose sum is σ = 216950400. Its totient is φ = 16986112.

The previous prime is 66792709. The next prime is 66792727. The reversal of 66792720 is 2729766.

It is a super-2 number, since 2×66792720² = 8922534889996800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66792727) 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, 750436 + ... + 750524.

It is an arithmetic number, because the mean of its divisors is an integer number (1355940).

Almost surely, 2^66792720 is an apocalyptic number.

66792720 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 66792720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108475200).

66792720 is an abundant number, since it is smaller than the sum of its proper divisors (150157680).

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

66792720 is a wasteful number, since it uses less digits than its factorization.

66792720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 66792720 is about 8172.6813225526. The cubic root of 66792720 is about 405.7355327477.

The spelling of 66792720 in words is "sixty-six million, seven hundred ninety-two thousand, seven hundred twenty".