71323577620152 has 384 divisors, whose sum is σ = 221129637550080. Its totient is φ = 19018895385600.

The previous prime is 71323577620069. The next prime is 71323577620159. The reversal of 71323577620152 is 25102677532317.

It is a junction number, because it is equal to n+sod(n) for n = 71323577620095 and 71323577620104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71323577620159) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77956098 + ... + 78865710.

It is an arithmetic number, because the mean of its divisors is an integer number (575858431120).

Almost surely, 2^{71323577620152} 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 71323577620152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110564818775040).

71323577620152 is an abundant number, since it is smaller than the sum of its proper divisors (149806059929928).

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

71323577620152 is a wasteful number, since it uses less digits than its factorization.

71323577620152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909755 (or 909740 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 51.

It can be divided in two parts, 713235 and 77620152, that added together give a palindrome (78333387).

The spelling of 71323577620152 in words is "seventy-one trillion, three hundred twenty-three billion, five hundred seventy-seven million, six hundred twenty thousand, one hundred fifty-two".