71202481812 has 384 divisors, whose sum is σ = 239055667200. Its totient is φ = 17786044800.

The previous prime is 71202481807. The next prime is 71202481813. The reversal of 71202481812 is 21818420217.

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 not an unprimeable number, because it can be changed into a prime (71202481813) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46144713 + ... + 46146255.

It is an arithmetic number, because the mean of its divisors is an integer number (622540800).

Almost surely, 2^71202481812 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 71202481812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119527833600).

71202481812 is an abundant number, since it is smaller than the sum of its proper divisors (167853185388).

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

71202481812 is a wasteful number, since it uses less digits than its factorization.

71202481812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 71202481812 in words is "seventy-one billion, two hundred two million, four hundred eighty-one thousand, eight hundred twelve".