71172680 has 64 divisors (see below), whose sum is σ = 164505600. Its totient is φ = 27705600.

The previous prime is 71172671. The next prime is 71172701. The reversal of 71172680 is 8627117.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319049 + ... + 319271.

It is an arithmetic number, because the mean of its divisors is an integer number (2570400).

Almost surely, 2^71172680 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 71172680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

71172680 is an abundant number, since it is smaller than the sum of its proper divisors (93332920).

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

71172680 is a wasteful number, since it uses less digits than its factorization.

71172680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 71172680 is about 8436.3902233123. The cubic root of 71172680 is about 414.4172010023.

Adding to 71172680 its reverse (8627117), we get a palindrome (79799797).

The spelling of 71172680 in words is "seventy-one million, one hundred seventy-two thousand, six hundred eighty".