71166272 has 56 divisors (see below), whose sum is σ = 147035520. Its totient is φ = 34150400.

The previous prime is 71166253. The next prime is 71166287. The reversal of 71166272 is 27266117.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177272 + ... + 177672.

Almost surely, 2^71166272 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 71166272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73517760).

71166272 is an abundant number, since it is smaller than the sum of its proper divisors (75869248).

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

71166272 is a wasteful number, since it uses less digits than its factorization.

71166272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 509 counting only the distinct ones).

The product of its digits is 7056, while the sum is 32.

The square root of 71166272 is about 8436.0104314777. The cubic root of 71166272 is about 414.4047633407.

The spelling of 71166272 in words is "seventy-one million, one hundred sixty-six thousand, two hundred seventy-two".