71725240392 has 256 divisors, whose sum is σ = 203928453120. Its totient is φ = 20870784000.

The previous prime is 71725240351. The next prime is 71725240397. The reversal of 71725240392 is 29304252717.

It is not an unprimeable number, because it can be changed into a prime (71725240397) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97851258 + ... + 97851990.

It is an arithmetic number, because the mean of its divisors is an integer number (796595520).

Almost surely, 2^71725240392 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 71725240392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101964226560).

71725240392 is an abundant number, since it is smaller than the sum of its proper divisors (132203212728).

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

71725240392 is a wasteful number, since it uses less digits than its factorization.

71725240392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 71725240392 in words is "seventy-one billion, seven hundred twenty-five million, two hundred forty thousand, three hundred ninety-two".