40164072 has 128 divisors (see below), whose sum is σ = 117331200. Its totient is φ = 11354112.

The previous prime is 40164067. The next prime is 40164079. The reversal of 40164072 is 27046104.

40164072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40164072² = 3226305359242368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40164079) 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, 208008 + ... + 208200.

It is an arithmetic number, because the mean of its divisors is an integer number (916650).

Almost surely, 2^40164072 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 40164072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58665600).

40164072 is an abundant number, since it is smaller than the sum of its proper divisors (77167128).

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

40164072 is a wasteful number, since it uses less digits than its factorization.

40164072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 40164072 is about 6337.5130769096. The cubic root of 40164072 is about 342.4621500788.

The spelling of 40164072 in words is "forty million, one hundred sixty-four thousand, seventy-two".