66257352 has 128 divisors (see below), whose sum is σ = 213331200. Its totient is φ = 18895680.

The previous prime is 66257339. The next prime is 66257363. The reversal of 66257352 is 25375266.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122202 + ... + 122742.

It is an arithmetic number, because the mean of its divisors is an integer number (1666650).

Almost surely, 2^66257352 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 66257352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106665600).

66257352 is an abundant number, since it is smaller than the sum of its proper divisors (147073848).

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

66257352 is an equidigital number, since it uses as much as digits as its factorization.

66257352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 553 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 66257352 is about 8139.8619152907. The cubic root of 66257352 is about 404.6485840557.

Subtracting from 66257352 its sum of digits (36), we obtain a triangular number (66257316 = T₁₁₅₁₁).

The spelling of 66257352 in words is "sixty-six million, two hundred fifty-seven thousand, three hundred fifty-two".