66427152 has 80 divisors (see below), whose sum is σ = 189279552. Its totient is φ = 19906560.

The previous prime is 66427147. The next prime is 66427157. The reversal of 66427152 is 25172466.

66427152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66427147) and next prime (66427157).

It is a super-2 number, since 2×66427152² = 8825133045662208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (66427157) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 50568 + ... + 51864.

Almost surely, 2^66427152 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 66427152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94639776).

66427152 is an abundant number, since it is smaller than the sum of its proper divisors (122852400).

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

66427152 is a wasteful number, since it uses less digits than its factorization.

66427152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1410 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 66427152 is about 8150.2853937761. The cubic root of 66427152 is about 404.9939581479.

The spelling of 66427152 in words is "sixty-six million, four hundred twenty-seven thousand, one hundred fifty-two".