71898720 has 96 divisors (see below), whose sum is σ = 231372288. Its totient is φ = 18759168.

The previous prime is 71898719. The next prime is 71898731. The reversal of 71898720 is 2789817.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20967 + ... + 24153.

It is an arithmetic number, because the mean of its divisors is an integer number (2410128).

Almost surely, 2^71898720 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 71898720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115686144).

71898720 is an abundant number, since it is smaller than the sum of its proper divisors (159473568).

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

71898720 is a wasteful number, since it uses less digits than its factorization.

71898720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 71898720 is about 8479.3112927879. The cubic root of 71898720 is about 415.8216074362.

The spelling of 71898720 in words is "seventy-one million, eight hundred ninety-eight thousand, seven hundred twenty".