66127752 has 160 divisors (see below), whose sum is σ = 201247200. Its totient is φ = 20217600.

The previous prime is 66127741. The next prime is 66127759. The reversal of 66127752 is 25772166.

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

Its product of digits (35280) is a multiple of the sum of its prime divisors (196).

It is not an unprimeable number, because it can be changed into a prime (66127759) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 504727 + ... + 504857.

It is an arithmetic number, because the mean of its divisors is an integer number (1257795).

Almost surely, 2^66127752 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 66127752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100623600).

66127752 is an abundant number, since it is smaller than the sum of its proper divisors (135119448).

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

66127752 is a wasteful number, since it uses less digits than its factorization.

66127752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 196 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 66127752 is about 8131.8971956119. The cubic root of 66127752 is about 404.3845797112.

The spelling of 66127752 in words is "sixty-six million, one hundred twenty-seven thousand, seven hundred fifty-two".