71872752 has 80 divisors (see below), whose sum is σ = 213121280. Its totient is φ = 20445696.

The previous prime is 71872741. The next prime is 71872783. The reversal of 71872752 is 25727817.

It is a self number, because there is not a number n which added to its sum of digits gives 71872752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137163 + ... + 137685.

It is an arithmetic number, because the mean of its divisors is an integer number (2664016).

Almost surely, 2^71872752 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 71872752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106560640).

71872752 is an abundant number, since it is smaller than the sum of its proper divisors (141248528).

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

71872752 is a wasteful number, since it uses less digits than its factorization.

71872752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 944 counting only the distinct ones).

The product of its digits is 54880, while the sum is 39.

The square root of 71872752 is about 8477.7798980629. The cubic root of 71872752 is about 415.7715399906.

The spelling of 71872752 in words is "seventy-one million, eight hundred seventy-two thousand, seven hundred fifty-two".