71875840 has 72 divisors (see below), whose sum is σ = 173621448. Its totient is φ = 28508160.

The previous prime is 71875823. The next prime is 71875861. The reversal of 71875840 is 4857817.

It can be written as a sum of positive squares in 4 ways, for example, as 6071296 + 65804544 = 2464^2 + 8112^2 .

It is a super-2 number, since 2×71875840² = 10332272751411200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 71875793 and 71875802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298120 + ... + 298360.

It is an arithmetic number, because the mean of its divisors is an integer number (2411409).

Almost surely, 2^71875840 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 71875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86810724).

71875840 is an abundant number, since it is smaller than the sum of its proper divisors (101745608).

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

71875840 is a wasteful number, since it uses less digits than its factorization.

71875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 40.

The square root of 71875840 is about 8477.9620192591. The cubic root of 71875840 is about 415.7774944221. Note that the first 3 decimals are identical.

The spelling of 71875840 in words is "seventy-one million, eight hundred seventy-five thousand, eight hundred forty".