66607272 has 96 divisors (see below), whose sum is σ = 191318400. Its totient is φ = 21730032.

The previous prime is 66607267. The next prime is 66607337. The reversal of 66607272 is 27270666.

66607272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1417153 + ... + 1417199.

It is an arithmetic number, because the mean of its divisors is an integer number (1992900).

Almost surely, 2^66607272 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 66607272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95659200).

66607272 is an abundant number, since it is smaller than the sum of its proper divisors (124711128).

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

66607272 is an frugal number, since it uses more digits than its factorization.

66607272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 66607272 is about 8161.3278331409. The cubic root of 66607272 is about 405.3596804732.

The spelling of 66607272 in words is "sixty-six million, six hundred seven thousand, two hundred seventy-two".