72875540 has 48 divisors (see below), whose sum is σ = 158336640. Its totient is φ = 28156800.

The previous prime is 72875531. The next prime is 72875563. The reversal of 72875540 is 4557827.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72875494 and 72875503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86441 + ... + 87279.

It is an arithmetic number, because the mean of its divisors is an integer number (3298680).

Almost surely, 2^72875540 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 72875540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79168320).

72875540 is an abundant number, since it is smaller than the sum of its proper divisors (85461100).

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

72875540 is a wasteful number, since it uses less digits than its factorization.

72875540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 38.

The square root of 72875540 is about 8536.7171676236. The cubic root of 72875540 is about 417.6962682914.

The spelling of 72875540 in words is "seventy-two million, eight hundred seventy-five thousand, five hundred forty".