71891280 has 160 divisors (see below), whose sum is σ = 251233920. Its totient is φ = 18892800.

The previous prime is 71891257. The next prime is 71891293. The reversal of 71891280 is 8219817.

It is a super-2 number, since 2×71891280² = 10336712280076800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179080 + ... + 179480.

It is an arithmetic number, because the mean of its divisors is an integer number (1570212).

Almost surely, 2^71891280 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 71891280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125616960).

71891280 is an abundant number, since it is smaller than the sum of its proper divisors (179342640).

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

71891280 is a wasteful number, since it uses less digits than its factorization.

71891280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 71891280 is about 8478.8725665621. The cubic root of 71891280 is about 415.8072640215.

The spelling of 71891280 in words is "seventy-one million, eight hundred ninety-one thousand, two hundred eighty".