71998848 has 128 divisors (see below), whose sum is σ = 215913600. Its totient is φ = 23616000.

The previous prime is 71998841. The next prime is 71998853. The reversal of 71998848 is 84889917.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×71998848² = 10367668226654208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 71998794 and 71998803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71998841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286723 + ... + 286973.

It is an arithmetic number, because the mean of its divisors is an integer number (1686825).

Almost surely, 2^71998848 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 71998848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107956800).

71998848 is an abundant number, since it is smaller than the sum of its proper divisors (143914752).

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

71998848 is a wasteful number, since it uses less digits than its factorization.

71998848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 339 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The square root of 71998848 is about 8485.2134917160. The cubic root of 71998848 is about 416.0145458425.

The spelling of 71998848 in words is "seventy-one million, nine hundred ninety-eight thousand, eight hundred forty-eight".