40712672 has 192 divisors, whose sum is σ = 113799168. Its totient is φ = 13824000.

The previous prime is 40712647. The next prime is 40712689. The reversal of 40712672 is 27621704.

40712672 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 2×40712672² = 3315043322759168, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 992972 + ... + 993012.

It is an arithmetic number, because the mean of its divisors is an integer number (592704).

Almost surely, 2^40712672 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 40712672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56899584).

40712672 is an abundant number, since it is smaller than the sum of its proper divisors (73086496).

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

40712672 is a wasteful number, since it uses less digits than its factorization.

40712672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 40712672 is about 6380.6482429296. The cubic root of 40712672 is about 344.0143314743.

The spelling of 40712672 in words is "forty million, seven hundred twelve thousand, six hundred seventy-two".