48237120 has 140 divisors (see below), whose sum is σ = 171680124. Its totient is φ = 12856320.

The previous prime is 48237113. The next prime is 48237127. The reversal of 48237120 is 2173284.

It is an interprime number because it is at equal distance from previous prime (48237113) and next prime (48237127).

It can be written as a sum of positive squares in 2 ways, for example, as 5308416 + 42928704 = 2304^2 + 6552^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (48237127) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 24990 + ... + 26850.

Almost surely, 2^48237120 is an apocalyptic number.

48237120 is a gapful number since it is divisible by the number (40) 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 48237120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85840062).

48237120 is an abundant number, since it is smaller than the sum of its proper divisors (123443004).

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

48237120 is a wasteful number, since it uses less digits than its factorization.

48237120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 48237120 is about 6945.2948101574. The cubic root of 48237120 is about 364.0215742154.

The spelling of 48237120 in words is "forty-eight million, two hundred thirty-seven thousand, one hundred twenty".