248738072 has 32 divisors (see below), whose sum is σ = 512179200. Its totient is φ = 112308000.

The previous prime is 248738059. The next prime is 248738081. The reversal of 248738072 is 270837842.

248738072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3929 + ... + 22647.

It is an arithmetic number, because the mean of its divisors is an integer number (16005600).

Almost surely, 2^248738072 is an apocalyptic number.

248738072 is a gapful number since it is divisible by the number (22) 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 248738072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256089600).

248738072 is an abundant number, since it is smaller than the sum of its proper divisors (263441128).

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

248738072 is a wasteful number, since it uses less digits than its factorization.

248738072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18887 (or 18883 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The square root of 248738072 is about 15771.4321480327. The cubic root of 248738072 is about 628.8987833828.

The spelling of 248738072 in words is "two hundred forty-eight million, seven hundred thirty-eight thousand, seventy-two".