71898120 has 192 divisors, whose sum is σ = 270616320. Its totient is φ = 16215552.

The previous prime is 71898089. The next prime is 71898143. The reversal of 71898120 is 2189817.

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

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 47 ways as a sum of consecutive naturals, for example, 259422 + ... + 259698.

It is an arithmetic number, because the mean of its divisors is an integer number (1409460).

Almost surely, 2^71898120 is an apocalyptic number.

71898120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71898120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135308160).

71898120 is an abundant number, since it is smaller than the sum of its proper divisors (198718200).

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

71898120 is a wasteful number, since it uses less digits than its factorization.

71898120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 71898120 is about 8479.2759124822. The cubic root of 71898120 is about 415.8204507459.

The spelling of 71898120 in words is "seventy-one million, eight hundred ninety-eight thousand, one hundred twenty".