71985024 has 160 divisors (see below), whose sum is σ = 219934440. Its totient is φ = 23362560.

The previous prime is 71984981. The next prime is 71985049. The reversal of 71985024 is 42058917.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 71985024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 549439 + ... + 549569.

Almost surely, 2^71985024 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 71985024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109967220).

71985024 is an abundant number, since it is smaller than the sum of its proper divisors (147949416).

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

71985024 is a wasteful number, since it uses less digits than its factorization.

71985024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 71985024 is about 8484.3988590825. The cubic root of 71985024 is about 415.9879187813.

The spelling of 71985024 in words is "seventy-one million, nine hundred eighty-five thousand, twenty-four".