66772420 has 96 divisors (see below), whose sum is σ = 169456896. Its totient is φ = 21772800.

The previous prime is 66772397. The next prime is 66772429. The reversal of 66772420 is 2427766.

It is not an unprimeable number, because it can be changed into a prime (66772429) 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 31 ways as a sum of consecutive naturals, for example, 105505 + ... + 106135.

It is an arithmetic number, because the mean of its divisors is an integer number (1765176).

Almost surely, 2^66772420 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 66772420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84728448).

66772420 is an abundant number, since it is smaller than the sum of its proper divisors (102684476).

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

66772420 is a wasteful number, since it uses less digits than its factorization.

66772420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 66772420 is about 8171.4392857073. The cubic root of 66772420 is about 405.6944241465.

The spelling of 66772420 in words is "sixty-six million, seven hundred seventy-two thousand, four hundred twenty".