71530038720 has 336 divisors, whose sum is σ = 295981770240. Its totient is φ = 15489128448.

The previous prime is 71530038641. The next prime is 71530038803. The reversal of 71530038720 is 2783003517.

71530038720 is a `hidden beast` number, since 71 + 530 + 0 + 38 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289669 + ... + 476411.

Almost surely, 2^71530038720 is an apocalyptic number.

71530038720 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 71530038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147990885120).

71530038720 is an abundant number, since it is smaller than the sum of its proper divisors (224451731520).

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

71530038720 is a wasteful number, since it uses less digits than its factorization.

71530038720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186792 (or 186779 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 71530038720 in words is "seventy-one billion, five hundred thirty million, thirty-eight thousand, seven hundred twenty".