66723072 has 144 divisors (see below), whose sum is σ = 197107008. Its totient is φ = 19906560.

The previous prime is 66723071. The next prime is 66723077. The reversal of 66723072 is 27032766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66723071) 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, 409263 + ... + 409425.

Almost surely, 2^66723072 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 66723072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98553504).

66723072 is an abundant number, since it is smaller than the sum of its proper divisors (130383936).

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

66723072 is a wasteful number, since it uses less digits than its factorization.

66723072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 66723072 is about 8168.4191861094. The cubic root of 66723072 is about 405.5944570122.

The spelling of 66723072 in words is "sixty-six million, seven hundred twenty-three thousand, seventy-two".