66743572 has 48 divisors (see below), whose sum is σ = 139765248. Its totient is φ = 27290880.

The previous prime is 66743543. The next prime is 66743603. The reversal of 66743572 is 27534766.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53338 + ... + 54574.

It is an arithmetic number, because the mean of its divisors is an integer number (2911776).

Almost surely, 2^66743572 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 66743572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69882624).

66743572 is an abundant number, since it is smaller than the sum of its proper divisors (73021676).

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

66743572 is a wasteful number, since it uses less digits than its factorization.

66743572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1334 counting only the distinct ones).

The product of its digits is 211680, while the sum is 40.

The square root of 66743572 is about 8169.6739225014. The cubic root of 66743572 is about 405.6359910460.

The spelling of 66743572 in words is "sixty-six million, seven hundred forty-three thousand, five hundred seventy-two".