71893248 has 144 divisors (see below), whose sum is σ = 224480256. Its totient is φ = 19998720.

The previous prime is 71893243. The next prime is 71893259. The reversal of 71893248 is 84239817.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (71893243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231013 + ... + 231323.

Almost surely, 2^71893248 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 71893248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112240128).

71893248 is an abundant number, since it is smaller than the sum of its proper divisors (152587008).

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

71893248 is a wasteful number, since it uses less digits than its factorization.

71893248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 71893248 is about 8478.9886189333. The cubic root of 71893248 is about 415.8110581823.

The spelling of 71893248 in words is "seventy-one million, eight hundred ninety-three thousand, two hundred forty-eight".