66742272 has 192 divisors, whose sum is σ = 212284800. Its totient is φ = 20643840.

The previous prime is 66742271. The next prime is 66742283. The reversal of 66742272 is 27224766.

It is a tau number, because it is divible by the number of its divisors (192).

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 (66742271) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 939997 + ... + 940067.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 2^66742272 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 66742272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106142400).

66742272 is an abundant number, since it is smaller than the sum of its proper divisors (145542528).

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

66742272 is a wasteful number, since it uses less digits than its factorization.

66742272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

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

The square root of 66742272 is about 8169.5943595750. The cubic root of 66742272 is about 405.6333574330.

The spelling of 66742272 in words is "sixty-six million, seven hundred forty-two thousand, two hundred seventy-two".