66922272 has 72 divisors (see below), whose sum is σ = 198604224. Its totient is φ = 21335424.

The previous prime is 66922253. The next prime is 66922277. The reversal of 66922272 is 27222966.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66922277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1573 + ... + 11675.

It is an arithmetic number, because the mean of its divisors is an integer number (2758392).

Almost surely, 2^66922272 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 66922272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99302112).

66922272 is an abundant number, since it is smaller than the sum of its proper divisors (131681952).

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

66922272 is a wasteful number, since it uses less digits than its factorization.

66922272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10142 (or 10131 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 66922272 is about 8180.6034007278. The cubic root of 66922272 is about 405.9976865763.

The spelling of 66922272 in words is "sixty-six million, nine hundred twenty-two thousand, two hundred seventy-two".