71712288 has 54 divisors (see below), whose sum is σ = 204341319. Its totient is φ = 23856192.

The previous prime is 71712259. The next prime is 71712293. The reversal of 71712288 is 88221717.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 35856144 + 35856144 = 5988^2 + 5988^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5988.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 143463 + ... + 143961.

Almost surely, 2^71712288 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 71712288

71712288 is an abundant number, since it is smaller than the sum of its proper divisors (132629031).

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

71712288 is an equidigital number, since it uses as much as digits as its factorization.

71712288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 504 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 71712288 is about 8468.3108114901. The cubic root of 71712288 is about 415.4618905300.

The spelling of 71712288 in words is "seventy-one million, seven hundred twelve thousand, two hundred eighty-eight".