71832208 has 80 divisors (see below), whose sum is σ = 173988864. Its totient is φ = 28016640.

The previous prime is 71832193. The next prime is 71832209. The reversal of 71832208 is 80223817.

It is a super-2 number, since 2×71832208² = 10319732212310528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 71832208.

It is not an unprimeable number, because it can be changed into a prime (71832209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58416 + ... + 59632.

Almost surely, 2^71832208 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 71832208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86994432).

71832208 is an abundant number, since it is smaller than the sum of its proper divisors (102156656).

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

71832208 is a wasteful number, since it uses less digits than its factorization.

71832208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 71832208 is about 8475.3883686826. The cubic root of 71832208 is about 415.6933452572.

The spelling of 71832208 in words is "seventy-one million, eight hundred thirty-two thousand, two hundred eight".