40390272 has 256 divisors, whose sum is σ = 137088000. Its totient is φ = 11612160.

The previous prime is 40390271. The next prime is 40390309. The reversal of 40390272 is 27209304.

40390272 is a `hidden beast` number, since 4 + 0 + 390 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40390271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1302897 + ... + 1302927.

It is an arithmetic number, because the mean of its divisors is an integer number (535500).

Almost surely, 2^40390272 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 40390272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68544000).

40390272 is an abundant number, since it is smaller than the sum of its proper divisors (96697728).

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

40390272 is a wasteful number, since it uses less digits than its factorization.

40390272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 40390272 is about 6355.3341375572. The cubic root of 40390272 is about 343.1038510062.

Adding to 40390272 its reverse (27209304), we get a palindrome (67599576).

The spelling of 40390272 in words is "forty million, three hundred ninety thousand, two hundred seventy-two".