71264116 has 48 divisors (see below), whose sum is σ = 156143232. Its totient is φ = 27648000.

The previous prime is 71264111. The next prime is 71264161. The reversal of 71264116 is 61146217.

It is a super-2 number, since 2×71264116² = 10157148458522912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71264111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123220 + ... + 123796.

It is an arithmetic number, because the mean of its divisors is an integer number (3252984).

Almost surely, 2^71264116 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 71264116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78071616).

71264116 is an abundant number, since it is smaller than the sum of its proper divisors (84879116).

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

71264116 is a wasteful number, since it uses less digits than its factorization.

71264116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 998 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 71264116 is about 8441.8076263322. The cubic root of 71264116 is about 414.5945932067.

The spelling of 71264116 in words is "seventy-one million, two hundred sixty-four thousand, one hundred sixteen".