66587472 has 90 divisors (see below), whose sum is σ = 216800298. Its totient is φ = 19022976.

The previous prime is 66587471. The next prime is 66587483. The reversal of 66587472 is 27478566.

66587472 is a `hidden beast` number, since 66 + 587 + 4 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58430736 + 8156736 = 7644^2 + 2856^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66587471) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2338 + ... + 11774.

Almost surely, 2^66587472 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 66587472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108400149).

66587472 is an abundant number, since it is smaller than the sum of its proper divisors (150212826).

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

66587472 is a wasteful number, since it uses less digits than its factorization.

66587472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9465 (or 9449 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 66587472 is about 8160.1147050761. The cubic root of 66587472 is about 405.3195100991.

The spelling of 66587472 in words is "sixty-six million, five hundred eighty-seven thousand, four hundred seventy-two".