71149960 has 96 divisors (see below), whose sum is σ = 192395520. Its totient is φ = 23587200.

The previous prime is 71149957. The next prime is 71149987. The reversal of 71149960 is 6994117.

71149960 = T₂₇₅ + T₂₇₆ + ... + T₇₆₄.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60175 + ... + 61345.

It is an arithmetic number, because the mean of its divisors is an integer number (2004120).

Almost surely, 2^71149960 is an apocalyptic number.

71149960 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 71149960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96197760).

71149960 is an abundant number, since it is smaller than the sum of its proper divisors (121245560).

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

71149960 is a wasteful number, since it uses less digits than its factorization.

71149960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 71149960 is about 8435.0435683522. The cubic root of 71149960 is about 414.3730990573.

The spelling of 71149960 in words is "seventy-one million, one hundred forty-nine thousand, nine hundred sixty".