64609272 has 256 divisors, whose sum is σ = 233856000. Its totient is φ = 16049664.

The previous prime is 64609271. The next prime is 64609273. The reversal of 64609272 is 27290646.

It is a happy number.

64609272 is a `hidden beast` number, since 646 + 0 + 9 + 2 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (64609271) and next prime (64609273).

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 (64609271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 373378 + ... + 373550.

It is an arithmetic number, because the mean of its divisors is an integer number (913500).

Almost surely, 2^64609272 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 64609272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116928000).

64609272 is an abundant number, since it is smaller than the sum of its proper divisors (169246728).

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

64609272 is a wasteful number, since it uses less digits than its factorization.

64609272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 64609272 is about 8037.9893008140. The cubic root of 64609272 is about 401.2653099233.

The spelling of 64609272 in words is "sixty-four million, six hundred nine thousand, two hundred seventy-two".