71602373562720 has 1536 divisors, whose sum is σ = 316255431131136. Its totient is φ = 13126164480000.

The previous prime is 71602373562679. The next prime is 71602373562721. The reversal of 71602373562720 is 2726537320617.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71602373562721) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22024721095 + ... + 22024724345.

It is an arithmetic number, because the mean of its divisors is an integer number (205895462976).

Almost surely, 2^{71602373562720} is an apocalyptic number.

71602373562720 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 71602373562720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158127715565568).

71602373562720 is an abundant number, since it is smaller than the sum of its proper divisors (244653057568416).

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

71602373562720 is a wasteful number, since it uses less digits than its factorization.

71602373562720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5316 (or 5308 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 51.

The spelling of 71602373562720 in words is "seventy-one trillion, six hundred two billion, three hundred seventy-three million, five hundred sixty-two thousand, seven hundred twenty".