40182272 has 40 divisors (see below), whose sum is σ = 86476236. Its totient is φ = 18542592.

The previous prime is 40182269. The next prime is 40182281. The reversal of 40182272 is 27228104.

It can be written as a sum of positive squares in 2 ways, for example, as 35236096 + 4946176 = 5936^2 + 2224^2 .

It is a super-2 number, since 2×40182272² = 3229229966163968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3638 + ... + 9674.

Almost surely, 2^40182272 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 40182272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43238118).

40182272 is an abundant number, since it is smaller than the sum of its proper divisors (46293964).

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

40182272 is an equidigital number, since it uses as much as digits as its factorization.

40182272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6068 (or 6052 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 40182272 is about 6338.9488087537. The cubic root of 40182272 is about 342.5138701826.

The spelling of 40182272 in words is "forty million, one hundred eighty-two thousand, two hundred seventy-two".