40588272 has 60 divisors (see below), whose sum is σ = 114903360. Its totient is φ = 13373184.

The previous prime is 40588271. The next prime is 40588277. The reversal of 40588272 is 27288504.

It is a happy number.

40588272 is a `hidden beast` number, since 4 + 0 + 588 + 2 + 72 = 666.

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 (40588271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11233 + ... + 14399.

It is an arithmetic number, because the mean of its divisors is an integer number (1915056).

Almost surely, 2^40588272 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 40588272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57451680).

40588272 is an abundant number, since it is smaller than the sum of its proper divisors (74315088).

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

40588272 is a wasteful number, since it uses less digits than its factorization.

40588272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 40588272 is about 6370.8925591317. The cubic root of 40588272 is about 343.6635885498.

The spelling of 40588272 in words is "forty million, five hundred eighty-eight thousand, two hundred seventy-two".