72903040 has 64 divisors (see below), whose sum is σ = 199193760. Its totient is φ = 24993792.

The previous prime is 72903011. The next prime is 72903079. The reversal of 72903040 is 4030927.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 72902996 and 72903014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3657 + ... + 12616.

Almost surely, 2^72903040 is an apocalyptic number.

72903040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72903040 is an abundant number, since it is smaller than the sum of its proper divisors (126290720).

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

72903040 is a wasteful number, since it uses less digits than its factorization.

72903040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16299 (or 16287 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 72903040 is about 8538.3277051188. The cubic root of 72903040 is about 417.7488017058.

Adding to 72903040 its reverse (4030927), we get a palindrome (76933967).

The spelling of 72903040 in words is "seventy-two million, nine hundred three thousand, forty".