40672992 has 96 divisors (see below), whose sum is σ = 112250880. Its totient is φ = 12879360.

The previous prime is 40672937. The next prime is 40672997. The reversal of 40672992 is 29927604.

40672992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 40672992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40672997) 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, 235018 + ... + 235190.

It is an arithmetic number, because the mean of its divisors is an integer number (1169280).

Almost surely, 2^40672992 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 40672992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56125440).

40672992 is an abundant number, since it is smaller than the sum of its proper divisors (71577888).

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

40672992 is a wasteful number, since it uses less digits than its factorization.

With its successor (40672993) it forms an eRAP, since the sums of their prime factors are consecutive (296 and 297).

40672992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 40672992 is about 6377.5380829910. The cubic root of 40672992 is about 343.9025323288.

The spelling of 40672992 in words is "forty million, six hundred seventy-two thousand, nine hundred ninety-two".