71999040 has 112 divisors (see below), whose sum is σ = 234891072. Its totient is φ = 18671616.

The previous prime is 71999033. The next prime is 71999047. The reversal of 71999040 is 4099917.

It is an interprime number because it is at equal distance from previous prime (71999033) and next prime (71999047).

It is a self number, because there is not a number n which added to its sum of digits gives 71999040.

It is not an unprimeable number, because it can be changed into a prime (71999047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34507 + ... + 36533.

Almost surely, 2^71999040 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 71999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117445536).

71999040 is an abundant number, since it is smaller than the sum of its proper divisors (162892032).

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

71999040 is a wasteful number, since it uses less digits than its factorization.

71999040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 71999040 is about 8485.2248055075. The cubic root of 71999040 is about 416.0149156388.

The spelling of 71999040 in words is "seventy-one million, nine hundred ninety-nine thousand, forty".