66337272 has 64 divisors (see below), whose sum is σ = 190233600. Its totient is φ = 21396960.

The previous prime is 66337259. The next prime is 66337273. The reversal of 66337272 is 27273366.

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 (66337273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1743 + ... + 11649.

It is an arithmetic number, because the mean of its divisors is an integer number (2972400).

Almost surely, 2^66337272 is an apocalyptic number.

66337272 is a gapful number since it is divisible by the number (62) 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 66337272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95116800).

66337272 is an abundant number, since it is smaller than the sum of its proper divisors (123896328).

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

66337272 is a wasteful number, since it uses less digits than its factorization.

66337272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9953 (or 9943 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 66337272 is about 8144.7696100013. The cubic root of 66337272 is about 404.8112151694.

The spelling of 66337272 in words is "sixty-six million, three hundred thirty-seven thousand, two hundred seventy-two".