71993628 has 72 divisors (see below), whose sum is σ = 209969760. Its totient is φ = 20373120.

The previous prime is 71993627. The next prime is 71993651. The reversal of 71993628 is 82639917.

71993628 is a `hidden beast` number, since 7 + 19 + 9 + 3 + 628 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71993627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26158 + ... + 28778.

Almost surely, 2^71993628 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 71993628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104984880).

71993628 is an abundant number, since it is smaller than the sum of its proper divisors (137976132).

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

71993628 is a wasteful number, since it uses less digits than its factorization.

71993628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2742 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 71993628 is about 8484.9058922300. The cubic root of 71993628 is about 416.0044917538.

The spelling of 71993628 in words is "seventy-one million, nine hundred ninety-three thousand, six hundred twenty-eight".