40720672 has 48 divisors (see below), whose sum is σ = 85119552. Its totient is φ = 19134720.

The previous prime is 40720663. The next prime is 40720681. The reversal of 40720672 is 27602704.

It is an interprime number because it is at equal distance from previous prime (40720663) and next prime (40720681).

It is a self number, because there is not a number n which added to its sum of digits gives 40720672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44443 + ... + 45349.

It is an arithmetic number, because the mean of its divisors is an integer number (1773324).

Almost surely, 2^40720672 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 40720672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42559776).

40720672 is an abundant number, since it is smaller than the sum of its proper divisors (44398880).

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

40720672 is a wasteful number, since it uses less digits than its factorization.

40720672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 40720672 is about 6381.2751076881. The cubic root of 40720672 is about 344.0368628245.

The spelling of 40720672 in words is "forty million, seven hundred twenty thousand, six hundred seventy-two".