66772736 has 72 divisors (see below), whose sum is σ = 143856720. Its totient is φ = 30818304.

The previous prime is 66772733. The next prime is 66772801. The reversal of 66772736 is 63727766.

66772736 = 74² + 75² + ... + 585².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66772733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291470 + ... + 291698.

It is an arithmetic number, because the mean of its divisors is an integer number (1998010).

Almost surely, 2^66772736 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 66772736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71928360).

66772736 is an abundant number, since it is smaller than the sum of its proper divisors (77083984).

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

66772736 is a wasteful number, since it uses less digits than its factorization.

66772736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 315 counting only the distinct ones).

The product of its digits is 444528, while the sum is 44.

The square root of 66772736 is about 8171.4586213234. The cubic root of 66772736 is about 405.6950641275.

The spelling of 66772736 in words is "sixty-six million, seven hundred seventy-two thousand, seven hundred thirty-six".