71938560 has 320 divisors, whose sum is σ = 265161600. Its totient is φ = 16515072.

The previous prime is 71938553. The next prime is 71938567. The reversal of 71938560 is 6583917.

It is an interprime number because it is at equal distance from previous prime (71938553) and next prime (71938567).

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (71938567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2480626 + ... + 2480654.

It is an arithmetic number, because the mean of its divisors is an integer number (828630).

Almost surely, 2^71938560 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 71938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132580800).

71938560 is an abundant number, since it is smaller than the sum of its proper divisors (193223040).

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

71938560 is a wasteful number, since it uses less digits than its factorization.

71938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 71938560 is about 8481.6602148400. The cubic root of 71938560 is about 415.8983972776.

It can be divided in two parts, 7193 and 8560, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 71938560 in words is "seventy-one million, nine hundred thirty-eight thousand, five hundred sixty".