71513832 has 128 divisors (see below), whose sum is σ = 207446400. Its totient is φ = 20348928.

The previous prime is 71513821. The next prime is 71513833. The reversal of 71513832 is 23831517.

It is a super-3 number, since 3×71513832³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 71513832.

It is not an unprimeable number, because it can be changed into a prime (71513833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 514419 + ... + 514557.

It is an arithmetic number, because the mean of its divisors is an integer number (1620675).

Almost surely, 2^71513832 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 71513832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103723200).

71513832 is an abundant number, since it is smaller than the sum of its proper divisors (135932568).

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

71513832 is a wasteful number, since it uses less digits than its factorization.

71513832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 271 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 71513832 is about 8456.5851263971. The cubic root of 71513832 is about 415.0782878385.

The spelling of 71513832 in words is "seventy-one million, five hundred thirteen thousand, eight hundred thirty-two".