72089040 has 80 divisors (see below), whose sum is σ = 235252800. Its totient is φ = 18210816.

The previous prime is 72088999. The next prime is 72089047. The reversal of 72089040 is 4098027.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 72088989 and 72089007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72089047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3345 + ... + 12464.

It is an arithmetic number, because the mean of its divisors is an integer number (2940660).

Almost surely, 2^72089040 is an apocalyptic number.

It is an amenable number.

72089040 is an abundant number, since it is smaller than the sum of its proper divisors (163163760).

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

72089040 is a wasteful number, since it uses less digits than its factorization.

72089040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15844 (or 15838 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 72089040 is about 8490.5264854425. The cubic root of 72089040 is about 416.1881853216.

The spelling of 72089040 in words is "seventy-two million, eighty-nine thousand, forty".