66817752 has 64 divisors (see below), whose sum is σ = 177746400. Its totient is φ = 20858880.

The previous prime is 66817747. The next prime is 66817757. The reversal of 66817752 is 25771866.

It is an interprime number because it is at equal distance from previous prime (66817747) and next prime (66817757).

It is a super-2 number, since 2×66817752² = 8929223964667008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66817757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158502 + ... + 158922.

Almost surely, 2^66817752 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 66817752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88873200).

66817752 is an abundant number, since it is smaller than the sum of its proper divisors (110928648).

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

66817752 is a wasteful number, since it uses less digits than its factorization.

66817752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 832 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 66817752 is about 8174.2126226322. The cubic root of 66817752 is about 405.7862124393.

The spelling of 66817752 in words is "sixty-six million, eight hundred seventeen thousand, seven hundred fifty-two".