71633268 has 96 divisors (see below), whose sum is σ = 223462400. Its totient is φ = 19385568.

The previous prime is 71633209. The next prime is 71633333. The reversal of 71633268 is 86233617.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11871 + ... + 16857.

Almost surely, 2^71633268 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 71633268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111731200).

71633268 is an abundant number, since it is smaller than the sum of its proper divisors (151829132).

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

71633268 is a wasteful number, since it uses less digits than its factorization.

71633268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026 (or 5018 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 71633268 is about 8463.6438961005. The cubic root of 71633268 is about 415.3092348494.

The spelling of 71633268 in words is "seventy-one million, six hundred thirty-three thousand, two hundred sixty-eight".