71503872 has 156 divisors (see below), whose sum is σ = 217421904. Its totient is φ = 20725760.

The previous prime is 71503867. The next prime is 71503907. The reversal of 71503872 is 27830517.

It is a super-2 number, since 2×71503872² = 10225607421984768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 16.

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 11 ways as a sum of consecutive naturals, for example, 3108853 + ... + 3108875.

Almost surely, 2^71503872 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 71503872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108710952).

71503872 is an abundant number, since it is smaller than the sum of its proper divisors (145918032).

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

71503872 is a wasteful number, since it uses less digits than its factorization.

71503872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 71503872 is about 8455.9962157040. The cubic root of 71503872 is about 415.0590171064.

Multiplying 71503872 by its sum of digits (33), we get a square (2359627776 = 48576²).

71503872 divided by its sum of digits (33) gives a square (2166784 = 1472²).

The spelling of 71503872 in words is "seventy-one million, five hundred three thousand, eight hundred seventy-two".