120872448 has 120 divisors (see below), whose sum is σ = 369605808. Its totient is φ = 37896192.

The previous prime is 120872399. The next prime is 120872473. The reversal of 120872448 is 844278021.

120872448 is a `hidden beast` number, since 1 + 208 + 7 + 2 + 448 = 666.

It is a super-2 number, since 2×120872448² = 29220297371025408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 77565 + ... + 79107.

Almost surely, 2^120872448 is an apocalyptic number.

120872448 is a gapful number since it is divisible by the number (18) 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 120872448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184802904).

120872448 is an abundant number, since it is smaller than the sum of its proper divisors (248733360).

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

120872448 is a wasteful number, since it uses less digits than its factorization.

120872448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 120872448 is about 10994.2006530716. The cubic root of 120872448 is about 494.4348861549.

It can be divided in two parts, 12087 and 2448, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 120872448 in words is "one hundred twenty million, eight hundred seventy-two thousand, four hundred forty-eight".