40872762 has 120 divisors (see below), whose sum is σ = 112559040. Its totient is φ = 11022480.

The previous prime is 40872761. The next prime is 40872763. The reversal of 40872762 is 26727804.

It is an interprime number because it is at equal distance from previous prime (40872761) and next prime (40872763).

It is not an unprimeable number, because it can be changed into a prime (40872761) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 150687 + ... + 150957.

It is an arithmetic number, because the mean of its divisors is an integer number (937992).

Almost surely, 2^40872762 is an apocalyptic number.

40872762 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40872762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56279520).

40872762 is an abundant number, since it is smaller than the sum of its proper divisors (71686278).

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

40872762 is a wasteful number, since it uses less digits than its factorization.

40872762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 40872762 is about 6393.1808984261. The cubic root of 40872762 is about 344.4646517532.

The spelling of 40872762 in words is "forty million, eight hundred seventy-two thousand, seven hundred sixty-two".