40720 has 20 divisors (see below), whose sum is σ = 94860. Its totient is φ = 16256.

The previous prime is 40709. The next prime is 40739. The reversal of 40720 is 2704.

40720 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 24336 + 16384 = 156^2 + 128^2 .

It is a tau number, because it is divible by the number of its divisors (20).

40720 is strictly pandigital in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 40720.

It is an unprimeable number.

40720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 175 + ... + 334.

It is an arithmetic number, because the mean of its divisors is an integer number (4743).

2⁴⁰⁷²⁰ is an apocalyptic number.

40720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40720 is an abundant number, since it is smaller than the sum of its proper divisors (54140).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47430).

40720 is a wasteful number, since it uses less digits than its factorization.

40720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 40720 is about 201.7919720901. The cubic root of 40720 is about 34.4034970305.

The spelling of 40720 in words is "forty thousand, seven hundred twenty", and thus it is an iban number.