72517000 has 64 divisors (see below), whose sum is σ = 171325440. Its totient is φ = 28728000.

The previous prime is 72516973. The next prime is 72517001. The reversal of 72517000 is 71527.

It is not an unprimeable number, because it can be changed into a prime (72517001) 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, 126715 + ... + 127285.

It is an arithmetic number, because the mean of its divisors is an integer number (2676960).

Almost surely, 2^72517000 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 72517000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85662720).

72517000 is an abundant number, since it is smaller than the sum of its proper divisors (98808440).

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

72517000 is a wasteful number, since it uses less digits than its factorization.

72517000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 72517000 is about 8515.6913988237. The cubic root of 72517000 is about 417.0101345715.

Adding to 72517000 its reverse (71527), we get a palindrome (72588527).

The spelling of 72517000 in words is "seventy-two million, five hundred seventeen thousand".