66290772 has 96 divisors (see below), whose sum is σ = 171601920. Its totient is φ = 19837440.

The previous prime is 66290771. The next prime is 66290779. The reversal of 66290772 is 27709266.

66290772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 66290772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66290771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586588 + ... + 586700.

It is an arithmetic number, because the mean of its divisors is an integer number (1787520).

Almost surely, 2^66290772 is an apocalyptic number.

66290772 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66290772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85800960).

66290772 is an abundant number, since it is smaller than the sum of its proper divisors (105311148).

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

66290772 is a wasteful number, since it uses less digits than its factorization.

66290772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 66290772 is about 8141.9145168689. The cubic root of 66290772 is about 404.7166071112.

The spelling of 66290772 in words is "sixty-six million, two hundred ninety thousand, seven hundred seventy-two".