66542472 has 80 divisors (see below), whose sum is σ = 192861900. Its totient is φ = 21409920.

The previous prime is 66542453. The next prime is 66542479. The reversal of 66542472 is 27424566.

It can be written as a sum of positive squares in 2 ways, for example, as 66487716 + 54756 = 8154^2 + 234^2 .

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 (66542479) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17022 + ... + 20562.

Almost surely, 2^66542472 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 66542472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96430950).

66542472 is an abundant number, since it is smaller than the sum of its proper divisors (126319428).

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

66542472 is a wasteful number, since it uses less digits than its factorization.

66542472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588 (or 3575 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 66542472 is about 8157.3569248869. The cubic root of 66542472 is about 405.2281841701.

The spelling of 66542472 in words is "sixty-six million, five hundred forty-two thousand, four hundred seventy-two".