40312272 has 160 divisors (see below), whose sum is σ = 139991040. Its totient is φ = 9653760.

The previous prime is 40312271. The next prime is 40312289. The reversal of 40312272 is 27221304.

40312272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40312271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47629 + ... + 48467.

It is an arithmetic number, because the mean of its divisors is an integer number (874944).

Almost surely, 2^40312272 is an apocalyptic number.

40312272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40312272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69995520).

40312272 is an abundant number, since it is smaller than the sum of its proper divisors (99678768).

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

40312272 is a wasteful number, since it uses less digits than its factorization.

40312272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 40312272 is about 6349.1945945923. The cubic root of 40312272 is about 342.8828460889.

Adding to 40312272 its reverse (27221304), we get a palindrome (67533576).

The spelling of 40312272 in words is "forty million, three hundred twelve thousand, two hundred seventy-two".