66072744 has 96 divisors (see below), whose sum is σ = 197795520. Its totient is φ = 19819008.

The previous prime is 66072739. The next prime is 66072757. The reversal of 66072744 is 44727066.

66072744 is a `hidden beast` number, since 6 + 607 + 2 + 7 + 44 = 666.

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 = 66072699 and 66072708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26979 + ... + 29325.

It is an arithmetic number, because the mean of its divisors is an integer number (2060370).

Almost surely, 2^66072744 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 66072744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98897760).

66072744 is an abundant number, since it is smaller than the sum of its proper divisors (131722776).

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

66072744 is a wasteful number, since it uses less digits than its factorization.

66072744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 66072744 is about 8128.5142553852. The cubic root of 66072744 is about 404.2724202567.

The spelling of 66072744 in words is "sixty-six million, seventy-two thousand, seven hundred forty-four".