66850272 has 72 divisors (see below), whose sum is σ = 197169336. Its totient is φ = 22280832.

The previous prime is 66850253. The next prime is 66850319. The reversal of 66850272 is 27205866.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3478 + ... + 12074.

It is an arithmetic number, because the mean of its divisors is an integer number (2738463).

Almost surely, 2^66850272 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 66850272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98584668).

66850272 is an abundant number, since it is smaller than the sum of its proper divisors (130319064).

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

66850272 is an equidigital number, since it uses as much as digits as its factorization.

66850272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8622 (or 8602 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 66850272 is about 8176.2015630732. The cubic root of 66850272 is about 405.8520334074.

The spelling of 66850272 in words is "sixty-six million, eight hundred fifty thousand, two hundred seventy-two".