71522922240 has 2160 divisors, whose sum is σ = 349878380544. Its totient is φ = 13536460800.

The previous prime is 71522922199. The next prime is 71522922253. The reversal of 71522922240 is 4222922517.

It is a happy number.

71522922240 is a `hidden beast` number, since 7 + 1 + 522 + 92 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 71522922195 and 71522922204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2307191025 + ... + 2307191055.

Almost surely, 2^71522922240 is an apocalyptic number.

71522922240 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 71522922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174939190272).

71522922240 is an abundant number, since it is smaller than the sum of its proper divisors (278355458304).

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

71522922240 is a wasteful number, since it uses less digits than its factorization.

71522922240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 71522922240 in words is "seventy-one billion, five hundred twenty-two million, nine hundred twenty-two thousand, two hundred forty".