120291072 has 144 divisors (see below), whose sum is σ = 362033280. Its totient is φ = 35123200.

The previous prime is 120291049. The next prime is 120291077. The reversal of 120291072 is 270192021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120291077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244747 + ... + 245237.

It is an arithmetic number, because the mean of its divisors is an integer number (2514120).

Almost surely, 2^120291072 is an apocalyptic number.

120291072 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 120291072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181016640).

120291072 is an abundant number, since it is smaller than the sum of its proper divisors (241742208).

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

120291072 is a wasteful number, since it uses less digits than its factorization.

120291072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 120291072 is about 10967.7286618516. The cubic root of 120291072 is about 493.6408957883.

It can be divided in two parts, 120 and 291072, that added together give a palindrome (291192).

The spelling of 120291072 in words is "one hundred twenty million, two hundred ninety-one thousand, seventy-two".