71375040 has 224 divisors, whose sum is σ = 275051520. Its totient is φ = 17280000.

The previous prime is 71375011. The next prime is 71375069. The reversal of 71375040 is 4057317.

It is an interprime number because it is at equal distance from previous prime (71375011) and next prime (71375069).

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

It is a junction number, because it is equal to n+sod(n) for n = 71374995 and 71375013.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 94665 + ... + 95415.

Almost surely, 2^71375040 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 71375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137525760).

71375040 is an abundant number, since it is smaller than the sum of its proper divisors (203676480).

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

71375040 is a wasteful number, since it uses less digits than its factorization.

71375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 71375040 is about 8448.3749916774. The cubic root of 71375040 is about 414.8095899128.

The spelling of 71375040 in words is "seventy-one million, three hundred seventy-five thousand, forty".