71828960 has 96 divisors (see below), whose sum is σ = 197406720. Its totient is φ = 24187392.

The previous prime is 71828957. The next prime is 71829001. The reversal of 71828960 is 6982817.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65537 + ... + 66623.

It is an arithmetic number, because the mean of its divisors is an integer number (2056320).

Almost surely, 2^71828960 is an apocalyptic number.

71828960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71828960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98703360).

71828960 is an abundant number, since it is smaller than the sum of its proper divisors (125577760).

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

71828960 is a wasteful number, since it uses less digits than its factorization.

71828960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 71828960 is about 8475.1967528784. The cubic root of 71828960 is about 415.6870797654.

The spelling of 71828960 in words is "seventy-one million, eight hundred twenty-eight thousand, nine hundred sixty".