71977580 has 48 divisors (see below), whose sum is σ = 162025920. Its totient is φ = 26788608.

The previous prime is 71977553. The next prime is 71977597. The reversal of 71977580 is 8577917.

It is an unprimeable number.

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, 14906 + ... + 19134.

It is an arithmetic number, because the mean of its divisors is an integer number (3375540).

Almost surely, 2^71977580 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 71977580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81012960).

71977580 is an abundant number, since it is smaller than the sum of its proper divisors (90048340).

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

71977580 is a wasteful number, since it uses less digits than its factorization.

71977580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 44.

The square root of 71977580 is about 8483.9601602082. The cubic root of 71977580 is about 415.9735791282.

The spelling of 71977580 in words is "seventy-one million, nine hundred seventy-seven thousand, five hundred eighty".