71387136 has 96 divisors (see below), whose sum is σ = 211629600. Its totient is φ = 23777280.

The previous prime is 71387117. The next prime is 71387143. The reversal of 71387136 is 63178317.

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

It is a super-2 number, since 2×71387136² = 10192246372564992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 71387136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54651 + ... + 55941.

It is an arithmetic number, because the mean of its divisors is an integer number (2204475).

Almost surely, 2^71387136 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 71387136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105814800).

71387136 is an abundant number, since it is smaller than the sum of its proper divisors (140242464).

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

71387136 is a wasteful number, since it uses less digits than its factorization.

71387136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1296 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 71387136 is about 8449.0908386642. The cubic root of 71387136 is about 414.8330213223.

The spelling of 71387136 in words is "seventy-one million, three hundred eighty-seven thousand, one hundred thirty-six".