72517284 has 72 divisors (see below), whose sum is σ = 216740160. Its totient is φ = 20002752.

The previous prime is 72517283. The next prime is 72517327. The reversal of 72517284 is 48271527.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72517283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2347 + ... + 12269.

It is an arithmetic number, because the mean of its divisors is an integer number (3010280).

Almost surely, 2^72517284 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 72517284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108370080).

72517284 is an abundant number, since it is smaller than the sum of its proper divisors (144222876).

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

72517284 is a wasteful number, since it uses less digits than its factorization.

72517284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9969 (or 9964 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 72517284 is about 8515.7080739067. The cubic root of 72517284 is about 417.0106789529.

It can be divided in two parts, 7251 and 7284, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 72517284 in words is "seventy-two million, five hundred seventeen thousand, two hundred eighty-four".