71890416 has 200 divisors, whose sum is σ = 238203504. Its totient is φ = 20736000.

The previous prime is 71890363. The next prime is 71890417. The reversal of 71890416 is 61409817.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71890417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 286291 + ... + 286541.

Almost surely, 2^71890416 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 71890416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119101752).

71890416 is an abundant number, since it is smaller than the sum of its proper divisors (166313088).

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

71890416 is a wasteful number, since it uses less digits than its factorization.

71890416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 71890416 is about 8478.8216162389. The cubic root of 71890416 is about 415.8055982705.

The spelling of 71890416 in words is "seventy-one million, eight hundred ninety thousand, four hundred sixteen".