71851248 has 180 divisors, whose sum is σ = 248086800. Its totient is φ = 19289088.

The previous prime is 71851243. The next prime is 71851253. The reversal of 71851248 is 84215817.

It is an interprime number because it is at equal distance from previous prime (71851243) and next prime (71851253).

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 (71851243) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 119653 + ... + 120251.

It is an arithmetic number, because the mean of its divisors is an integer number (1378260).

Almost surely, 2^71851248 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 71851248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124043400).

71851248 is an abundant number, since it is smaller than the sum of its proper divisors (176235552).

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

71851248 is a wasteful number, since it uses less digits than its factorization.

71851248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 628 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 71851248 is about 8476.5115466211. The cubic root of 71851248 is about 415.7300702042.

The spelling of 71851248 in words is "seventy-one million, eight hundred fifty-one thousand, two hundred forty-eight".