40729872 has 80 divisors (see below), whose sum is σ = 111421440. Its totient is φ = 12794496.

The previous prime is 40729867. The next prime is 40729873. The reversal of 40729872 is 27892704.

40729872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40729872.

It is not an unprimeable number, because it can be changed into a prime (40729873) 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 15 ways as a sum of consecutive naturals, for example, 86983 + ... + 87449.

It is an arithmetic number, because the mean of its divisors is an integer number (1392768).

Almost surely, 2^40729872 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 40729872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55710720).

40729872 is an abundant number, since it is smaller than the sum of its proper divisors (70691568).

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

40729872 is a wasteful number, since it uses less digits than its factorization.

40729872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 40729872 is about 6381.9959260407. The cubic root of 40729872 is about 344.0627702293.

The spelling of 40729872 in words is "forty million, seven hundred twenty-nine thousand, eight hundred seventy-two".