71642880 has 180 divisors, whose sum is σ = 256722312. Its totient is φ = 19077120.

The previous prime is 71642843. The next prime is 71642887. The reversal of 71642880 is 8824617.

71642880 is a `hidden beast` number, since 7 + 1 + 642 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71642887) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103335 + ... + 104025.

Almost surely, 2^71642880 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 71642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128361156).

71642880 is an abundant number, since it is smaller than the sum of its proper divisors (185079432).

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

71642880 is an equidigital number, since it uses as much as digits as its factorization.

71642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 71642880 is about 8464.2117175789. The cubic root of 71642880 is about 415.3278098958.

The spelling of 71642880 in words is "seventy-one million, six hundred forty-two thousand, eight hundred eighty".