120742272 has 384 divisors, whose sum is σ = 446515200. Its totient is φ = 31933440.

The previous prime is 120742247. The next prime is 120742289. The reversal of 120742272 is 272247021.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3894897 + ... + 3894927.

It is an arithmetic number, because the mean of its divisors is an integer number (1162800).

Almost surely, 2^120742272 is an apocalyptic number.

120742272 is a gapful number since it is divisible by the number (12) 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 120742272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223257600).

120742272 is an abundant number, since it is smaller than the sum of its proper divisors (325772928).

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

120742272 is a wasteful number, since it uses less digits than its factorization.

120742272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 120742272 is about 10988.2788461160. The cubic root of 120742272 is about 494.2573252177.

Adding to 120742272 its reverse (272247021), we get a palindrome (392989293).

The spelling of 120742272 in words is "one hundred twenty million, seven hundred forty-two thousand, two hundred seventy-two".