66722760 has 192 divisors, whose sum is σ = 238820400. Its totient is φ = 16054272.

The previous prime is 66722749. The next prime is 66722767. The reversal of 66722760 is 6722766.

It can be written as a sum of positive squares in 8 ways, for example, as 8749764 + 57972996 = 2958^2 + 7614^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66722767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247906 + ... + 248174.

Almost surely, 2^66722760 is an apocalyptic number.

66722760 is a gapful number since it is divisible by the number (60) 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 66722760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119410200).

66722760 is an abundant number, since it is smaller than the sum of its proper divisors (172097640).

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

66722760 is a wasteful number, since it uses less digits than its factorization.

66722760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 66722760 is about 8168.4000881446. The cubic root of 66722760 is about 405.5938248187.

The spelling of 66722760 in words is "sixty-six million, seven hundred twenty-two thousand, seven hundred sixty".