71848728 has 256 divisors, whose sum is σ = 249984000. Its totient is φ = 18662400.

The previous prime is 71848727. The next prime is 71848741. The reversal of 71848728 is 82784817.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71848727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1177818 + ... + 1177878.

It is an arithmetic number, because the mean of its divisors is an integer number (976500).

Almost surely, 2^71848728 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 71848728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992000).

71848728 is an abundant number, since it is smaller than the sum of its proper divisors (178135272).

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

71848728 is a wasteful number, since it uses less digits than its factorization.

71848728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 133 counting only the distinct ones).

The product of its digits is 200704, while the sum is 45.

The square root of 71848728 is about 8476.3628992629. The cubic root of 71848728 is about 415.7252099220.

The spelling of 71848728 in words is "seventy-one million, eight hundred forty-eight thousand, seven hundred twenty-eight".