66517792 has 48 divisors (see below), whose sum is σ = 144353664. Its totient is φ = 29920000.

The previous prime is 66517783. The next prime is 66517811. The reversal of 66517792 is 29771566.

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, 34617 + ... + 36487.

It is an arithmetic number, because the mean of its divisors is an integer number (3007368).

Almost surely, 2^66517792 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 66517792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72176832).

66517792 is an abundant number, since it is smaller than the sum of its proper divisors (77835872).

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

66517792 is a wasteful number, since it uses less digits than its factorization.

66517792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1985 counting only the distinct ones).

The product of its digits is 158760, while the sum is 43.

The square root of 66517792 is about 8155.8440397055. The cubic root of 66517792 is about 405.1780794877.

It can be divided in two parts, 665 and 17792, that multiplied together give a triangular number (11831680 = T₄₈₆₄).

The spelling of 66517792 in words is "sixty-six million, five hundred seventeen thousand, seven hundred ninety-two".