66272544 has 144 divisors (see below), whose sum is σ = 209873664. Its totient is φ = 19699200.

The previous prime is 66272543. The next prime is 66272567. The reversal of 66272544 is 44527266.

66272544 is a `hidden beast` number, since 6 + 627 + 25 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 66272499 and 66272508.

It is not an unprimeable number, because it can be changed into a prime (66272543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115779 + ... + 116349.

It is an arithmetic number, because the mean of its divisors is an integer number (1457456).

Almost surely, 2^66272544 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 66272544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104936832).

66272544 is an abundant number, since it is smaller than the sum of its proper divisors (143601120).

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

66272544 is a wasteful number, since it uses less digits than its factorization.

66272544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 620 counting only the distinct ones).

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

The square root of 66272544 is about 8140.7950471683. The cubic root of 66272544 is about 404.6795086818.

The spelling of 66272544 in words is "sixty-six million, two hundred seventy-two thousand, five hundred forty-four".