71985276 has 144 divisors (see below), whose sum is σ = 216609120. Its totient is φ = 19975680.

The previous prime is 71985257. The next prime is 71985283. The reversal of 71985276 is 67258917.

Its product of digits (211680) is a multiple of the sum of its prime divisors (70).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1945530 + ... + 1945566.

It is an arithmetic number, because the mean of its divisors is an integer number (1504230).

Almost surely, 2^71985276 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 71985276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108304560).

71985276 is an abundant number, since it is smaller than the sum of its proper divisors (144623844).

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

71985276 is a wasteful number, since it uses less digits than its factorization.

71985276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 70 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 71985276 is about 8484.4137098564. The cubic root of 71985276 is about 415.9884042009.

The spelling of 71985276 in words is "seventy-one million, nine hundred eighty-five thousand, two hundred seventy-six".