71990784 has 120 divisors (see below), whose sum is σ = 220231440. Its totient is φ = 22560768.

The previous prime is 71990771. The next prime is 71990813. The reversal of 71990784 is 48709917.

It is a super-3 number, since 3×71990784³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77877 + ... + 78795.

It is an arithmetic number, because the mean of its divisors is an integer number (1835262).

Almost surely, 2^71990784 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 71990784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110115720).

71990784 is an abundant number, since it is smaller than the sum of its proper divisors (148240656).

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

71990784 is a wasteful number, since it uses less digits than its factorization.

71990784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 71990784 is about 8484.7382988517. The cubic root of 71990784 is about 415.9990138044. Note that the first 3 decimals are identical.

The spelling of 71990784 in words is "seventy-one million, nine hundred ninety thousand, seven hundred eighty-four".