120757728 has 192 divisors, whose sum is σ = 407780352. Its totient is φ = 30412800.

The previous prime is 120757727. The next prime is 120757729. The reversal of 120757728 is 827757021.

It is an interprime number because it is at equal distance from previous prime (120757727) and next prime (120757729).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120757727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200628 + ... + 201228.

It is an arithmetic number, because the mean of its divisors is an integer number (2123856).

Almost surely, 2^120757728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120757728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203890176).

120757728 is an abundant number, since it is smaller than the sum of its proper divisors (287022624).

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

120757728 is a wasteful number, since it uses less digits than its factorization.

120757728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 39.

The square root of 120757728 is about 10988.9821184676. The cubic root of 120757728 is about 494.2784139801.

It can be divided in two parts, 12075 and 7728, that multiplied together give a square (93315600 = 9660²).

The spelling of 120757728 in words is "one hundred twenty million, seven hundred fifty-seven thousand, seven hundred twenty-eight".