66277792 has 72 divisors (see below), whose sum is σ = 155475936. Its totient is φ = 27715968.

The previous prime is 66277763. The next prime is 66277801. The reversal of 66277792 is 29777266.

66277792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 66933 + ... + 67915.

It is an arithmetic number, because the mean of its divisors is an integer number (2159388).

Almost surely, 2^66277792 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 66277792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77737968).

66277792 is an abundant number, since it is smaller than the sum of its proper divisors (89198144).

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

66277792 is a wasteful number, since it uses less digits than its factorization.

66277792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1035 counting only the distinct ones).

The product of its digits is 444528, while the sum is 46.

The square root of 66277792 is about 8141.1173680276. The cubic root of 66277792 is about 404.6901903400.

The spelling of 66277792 in words is "sixty-six million, two hundred seventy-seven thousand, seven hundred ninety-two".