71964180 has 96 divisors (see below), whose sum is σ = 227162880. Its totient is φ = 18910080.

The previous prime is 71964173. The next prime is 71964199. The reversal of 71964180 is 8146917.

71964180 is a `hidden beast` number, since 7 + 1 + 9 + 641 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37402 + ... + 39278.

It is an arithmetic number, because the mean of its divisors is an integer number (2366280).

Almost surely, 2^71964180 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 71964180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113581440).

71964180 is an abundant number, since it is smaller than the sum of its proper divisors (155198700).

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

71964180 is a wasteful number, since it uses less digits than its factorization.

71964180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 71964180 is about 8483.1703979114. The cubic root of 71964180 is about 415.9477637197.

The spelling of 71964180 in words is "seventy-one million, nine hundred sixty-four thousand, one hundred eighty".