71500 has 48 divisors (see below), whose sum is σ = 183456. Its totient is φ = 24000.

The previous prime is 71483. The next prime is 71503. The reversal of 71500 is 517.

71500 = T₄₀ + T₄₁ + ... + T₇₈.

It is a super-2 number, since 2×71500² = 10224500000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (13) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (71503) 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, 5494 + ... + 5506.

It is an arithmetic number, because the mean of its divisors is an integer number (3822).

2⁷¹⁵⁰⁰ 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 71500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91728).

71500 is an abundant number, since it is smaller than the sum of its proper divisors (111956).

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

71500 is a wasteful number, since it uses less digits than its factorization.

71500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 13.

The square root of 71500 is about 267.3948391424. The cubic root of 71500 is about 41.5051525029.

The spelling of 71500 in words is "seventy-one thousand, five hundred".