72090040 has 32 divisors (see below), whose sum is σ = 176949360. Its totient is φ = 26214400.

The previous prime is 72090019. The next prime is 72090041. The reversal of 72090040 is 4009027.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 72089993 and 72090020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72090041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81481 + ... + 82360.

Almost surely, 2^72090040 is an apocalyptic number.

It is an amenable number.

72090040 is an abundant number, since it is smaller than the sum of its proper divisors (104859320).

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

72090040 is a wasteful number, since it uses less digits than its factorization.

72090040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163863 (or 163859 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 72090040 is about 8490.5853744015. The cubic root of 72090040 is about 416.1901097299.

Adding to 72090040 its reverse (4009027), we get a palindrome (76099067).

The spelling of 72090040 in words is "seventy-two million, ninety thousand, forty".