71850240 has 504 divisors, whose sum is σ = 321709248. Its totient is φ = 14929920.

The previous prime is 71850239. The next prime is 71850241. The reversal of 71850240 is 4205817.

It is an interprime number because it is at equal distance from previous prime (71850239) and next prime (71850241).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (71850241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6531835 + ... + 6531845.

It is an arithmetic number, because the mean of its divisors is an integer number (638312).

Almost surely, 2^71850240 is an apocalyptic number.

71850240 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 71850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160854624).

71850240 is an abundant number, since it is smaller than the sum of its proper divisors (249859008).

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

71850240 is an equidigital number, since it uses as much as digits as its factorization.

71850240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 71850240 is about 8476.4520879906. The cubic root of 71850240 is about 415.7281261050.

The spelling of 71850240 in words is "seventy-one million, eight hundred fifty thousand, two hundred forty".