72517260 has 48 divisors (see below), whose sum is σ = 205632000. Its totient is φ = 19091904.

The previous prime is 72517231. The next prime is 72517267. The reversal of 72517260 is 6271527.

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

It is not an unprimeable number, because it can be changed into a prime (72517267) 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, 2910 + ... + 12389.

It is an arithmetic number, because the mean of its divisors is an integer number (4284000).

Almost surely, 2^72517260 is an apocalyptic number.

It is an amenable number.

72517260 is an abundant number, since it is smaller than the sum of its proper divisors (133114740).

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

72517260 is a wasteful number, since it uses less digits than its factorization.

72517260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15390 (or 15388 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 72517260 is about 8515.7066647460. The cubic root of 72517260 is about 417.0106329489.

Adding to 72517260 its reverse (6271527), we get a palindrome (78788787).

The spelling of 72517260 in words is "seventy-two million, five hundred seventeen thousand, two hundred sixty".