71257880 has 64 divisors (see below), whose sum is σ = 173780640. Its totient is φ = 26191872.

The previous prime is 71257873. The next prime is 71257883. The reversal of 71257880 is 8875217.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71257883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28022 + ... + 30458.

Almost surely, 2^71257880 is an apocalyptic number.

71257880 is the 4874-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71257880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86890320).

71257880 is an abundant number, since it is smaller than the sum of its proper divisors (102522760).

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

71257880 is a wasteful number, since it uses less digits than its factorization.

71257880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 38.

The square root of 71257880 is about 8441.4382660776. The cubic root of 71257880 is about 414.5824997556.

The spelling of 71257880 in words is "seventy-one million, two hundred fifty-seven thousand, eight hundred eighty".