66295712 has 96 divisors (see below), whose sum is σ = 161642880. Its totient is φ = 26127360.

The previous prime is 66295681. The next prime is 66295721. The reversal of 66295712 is 21759266.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 157262 + ... + 157682.

It is an arithmetic number, because the mean of its divisors is an integer number (1683780).

Almost surely, 2^66295712 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 66295712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80821440).

66295712 is an abundant number, since it is smaller than the sum of its proper divisors (95347168).

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

66295712 is a wasteful number, since it uses less digits than its factorization.

66295712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 486 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 66295712 is about 8142.2178796689. The cubic root of 66295712 is about 404.7266600458.

The spelling of 66295712 in words is "sixty-six million, two hundred ninety-five thousand, seven hundred twelve".