120727872 has 42 divisors (see below), whose sum is σ = 346046298. Its totient is φ = 40242432.

The previous prime is 120727861. The next prime is 120727909. The reversal of 120727872 is 278727021.

It can be written as a sum of positive squares in only one way, i.e., 118722816 + 2005056 = 10896^2 + 1416^2 .

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 polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104223 + ... + 105374.

Almost surely, 2^120727872 is an apocalyptic number.

120727872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120727872 is an abundant number, since it is smaller than the sum of its proper divisors (225318426).

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

120727872 is a wasteful number, since it uses less digits than its factorization.

120727872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209615 (or 209602 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 120727872 is about 10987.6235829227. The cubic root of 120727872 is about 494.2376756828.

The spelling of 120727872 in words is "one hundred twenty million, seven hundred twenty-seven thousand, eight hundred seventy-two".