66743072 has 48 divisors (see below), whose sum is σ = 144571392. Its totient is φ = 30078720.

The previous prime is 66743063. The next prime is 66743107. The reversal of 66743072 is 27034766.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43958 + ... + 45450.

It is an arithmetic number, because the mean of its divisors is an integer number (3011904).

Almost surely, 2^66743072 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 66743072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72285696).

66743072 is an abundant number, since it is smaller than the sum of its proper divisors (77828320).

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

66743072 is a wasteful number, since it uses less digits than its factorization.

66743072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 66743072 is about 8169.6433214676. The cubic root of 66743072 is about 405.6349781220.

The spelling of 66743072 in words is "sixty-six million, seven hundred forty-three thousand, seventy-two".