71514820 has 48 divisors (see below), whose sum is σ = 168779520. Its totient is φ = 25255296.

The previous prime is 71514809. The next prime is 71514827. The reversal of 71514820 is 2841517.

71514820 is a nontrivial binomial coefficient, being equal to C(11960, 2).

It is a super-2 number, since 2×71514820² = 10228738959264800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71514827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 11959.

It is an arithmetic number, because the mean of its divisors is an integer number (3516240).

Almost surely, 2^71514820 is an apocalyptic number.

71514820 is the 11959-th triangular number and also the 5980-th hexagonal number.

71514820 is the 3987-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71514820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84389760).

71514820 is an abundant number, since it is smaller than the sum of its proper divisors (97264700).

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

71514820 is a wasteful number, since it uses less digits than its factorization.

71514820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12004 (or 12002 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 71514820 is about 8456.6435422099. The cubic root of 71514820 is about 415.0801993356.

The spelling of 71514820 in words is "seventy-one million, five hundred fourteen thousand, eight hundred twenty".