71372160 has 96 divisors (see below), whose sum is σ = 246476880. Its totient is φ = 19031040.

The previous prime is 71372141. The next prime is 71372177. The reversal of 71372160 is 6127317.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 436 + ... + 11955.

Almost surely, 2^71372160 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 71372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123238440).

71372160 is an abundant number, since it is smaller than the sum of its proper divisors (175104720).

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

71372160 is a wasteful number, since it uses less digits than its factorization.

71372160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12416 (or 12401 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 71372160 is about 8448.2045429783. The cubic root of 71372160 is about 414.8040106155.

Adding to 71372160 its reverse (6127317), we get a palindrome (77499477).

The spelling of 71372160 in words is "seventy-one million, three hundred seventy-two thousand, one hundred sixty".