71930100 has 144 divisors (see below), whose sum is σ = 230985216. Its totient is φ = 17136000.

The previous prime is 71930093. The next prime is 71930119. The reversal of 71930100 is 103917.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234147 + ... + 234453.

It is an arithmetic number, because the mean of its divisors is an integer number (1604064).

Almost surely, 2^71930100 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 71930100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115492608).

71930100 is an abundant number, since it is smaller than the sum of its proper divisors (159055116).

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

71930100 is a wasteful number, since it uses less digits than its factorization.

71930100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 21.

The square root of 71930100 is about 8481.1614770620. The cubic root of 71930100 is about 415.8820933724.

The spelling of 71930100 in words is "seventy-one million, nine hundred thirty thousand, one hundred".