120727152 has 320 divisors, whose sum is σ = 443304960. Its totient is φ = 30606336.

The previous prime is 120727147. The next prime is 120727153. The reversal of 120727152 is 251727021.

It is a super-2 number, since 2×120727152² = 29150090460062208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120727153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1454503 + ... + 1454585.

It is an arithmetic number, because the mean of its divisors is an integer number (1385328).

Almost surely, 2^120727152 is an apocalyptic number.

120727152 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 120727152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221652480).

120727152 is an abundant number, since it is smaller than the sum of its proper divisors (322577808).

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

120727152 is a wasteful number, since it uses less digits than its factorization.

120727152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 120727152 is about 10987.5908187373. The cubic root of 120727152 is about 494.2366931651.

The spelling of 120727152 in words is "one hundred twenty million, seven hundred twenty-seven thousand, one hundred fifty-two".