71142960 has 320 divisors, whose sum is σ = 277696512. Its totient is φ = 14696448.

The previous prime is 71142949. The next prime is 71142961. The reversal of 71142960 is 6924117.

It is a happy number.

It is a super-2 number, since 2×71142960² = 10122641515123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (71142961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1342294 + ... + 1342346.

Almost surely, 2^71142960 is an apocalyptic number.

71142960 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 71142960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138848256).

71142960 is an abundant number, since it is smaller than the sum of its proper divisors (206553552).

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

71142960 is a wasteful number, since it uses less digits than its factorization.

71142960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 71142960 is about 8434.6286225299. The cubic root of 71142960 is about 414.3595094182.

The spelling of 71142960 in words is "seventy-one million, one hundred forty-two thousand, nine hundred sixty".