40362672 has 90 divisors (see below), whose sum is σ = 122226924. Its totient is φ = 11444160.

The previous prime is 40362653. The next prime is 40362691. The reversal of 40362672 is 27626304.

40362672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40362653) and next prime (40362691).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 308047 + ... + 308177.

Almost surely, 2^40362672 is an apocalyptic number.

40362672 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 40362672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61113462).

40362672 is an abundant number, since it is smaller than the sum of its proper divisors (81864252).

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

40362672 is a wasteful number, since it uses less digits than its factorization.

40362672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 40362672 is about 6353.1623621626. The cubic root of 40362672 is about 343.0256818199.

Adding to 40362672 its reverse (27626304), we get a palindrome (67988976).

It can be divided in two parts, 40362 and 672, that multiplied together give a square (27123264 = 5208²).

The spelling of 40362672 in words is "forty million, three hundred sixty-two thousand, six hundred seventy-two".