48273120 has 144 divisors (see below), whose sum is σ = 188304480. Its totient is φ = 11031552.

The previous prime is 48273101. The next prime is 48273131. The reversal of 48273120 is 2137284.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×48273120² = 4660588229068800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7686 + ... + 12474.

It is an arithmetic number, because the mean of its divisors is an integer number (1307670).

Almost surely, 2^48273120 is an apocalyptic number.

48273120 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 48273120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94152240).

48273120 is an abundant number, since it is smaller than the sum of its proper divisors (140031360).

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

48273120 is a wasteful number, since it uses less digits than its factorization.

48273120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817 (or 4806 counting only the distinct ones).

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

The square root of 48273120 is about 6947.8860094276. The cubic root of 48273120 is about 364.1121097333.

It can be divided in two parts, 48 and 273120, that multiplied together give a triangular number (13109760 = T₅₁₂₀).

The spelling of 48273120 in words is "forty-eight million, two hundred seventy-three thousand, one hundred twenty".