71970180 has 96 divisors (see below), whose sum is σ = 219252096. Its totient is φ = 17565696.

The previous prime is 71970167. The next prime is 71970181. The reversal of 71970180 is 8107917.

It is not an unprimeable number, because it can be changed into a prime (71970181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36787 + ... + 38693.

It is an arithmetic number, because the mean of its divisors is an integer number (2283876).

Almost surely, 2^71970180 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 71970180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109626048).

71970180 is an abundant number, since it is smaller than the sum of its proper divisors (147281916).

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

71970180 is a wasteful number, since it uses less digits than its factorization.

71970180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 33.

The square root of 71970180 is about 8483.5240319103. The cubic root of 71970180 is about 415.9593232540.

The spelling of 71970180 in words is "seventy-one million, nine hundred seventy thousand, one hundred eighty".