71251680 has 96 divisors (see below), whose sum is σ = 227404800. Its totient is φ = 18749952.

The previous prime is 71251679. The next prime is 71251681. The reversal of 71251680 is 8615217.

It is an interprime number because it is at equal distance from previous prime (71251679) and next prime (71251681).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71251681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36981 + ... + 38859.

It is an arithmetic number, because the mean of its divisors is an integer number (2368800).

Almost surely, 2^71251680 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 71251680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113702400).

71251680 is an abundant number, since it is smaller than the sum of its proper divisors (156153120).

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

71251680 is a wasteful number, since it uses less digits than its factorization.

71251680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 71251680 is about 8441.0710220919. The cubic root of 71251680 is about 414.5704754197.

Adding to 71251680 its reverse (8615217), we get a palindrome (79866897).

The spelling of 71251680 in words is "seventy-one million, two hundred fifty-one thousand, six hundred eighty".