71920503900 has 432 divisors, whose sum is σ = 261244279296. Its totient is φ = 16210736640.

The previous prime is 71920503887. The next prime is 71920503947. The reversal of 71920503900 is 930502917.

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 143 ways as a sum of consecutive naturals, for example, 207263527 + ... + 207263873.

It is an arithmetic number, because the mean of its divisors is an integer number (604732128).

Almost surely, 2^71920503900 is an apocalyptic number.

71920503900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71920503900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130622139648).

71920503900 is an abundant number, since it is smaller than the sum of its proper divisors (189323775396).

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

71920503900 is a wasteful number, since it uses less digits than its factorization.

71920503900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The spelling of 71920503900 in words is "seventy-one billion, nine hundred twenty million, five hundred three thousand, nine hundred".