120728500 has 48 divisors (see below), whose sum is σ = 266731920. Its totient is φ = 47731200.

The previous prime is 120728497. The next prime is 120728501. The reversal of 120728500 is 5827021.

It can be written as a sum of positive squares in 8 ways, for example, as 21566736 + 99161764 = 4644^2 + 9958^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120728501) 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, 43144 + ... + 45856.

It is an arithmetic number, because the mean of its divisors is an integer number (5556915).

Almost surely, 2^120728500 is an apocalyptic number.

120728500 is a gapful number since it is divisible by the number (10) 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 120728500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133365960).

120728500 is an abundant number, since it is smaller than the sum of its proper divisors (146003420).

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

120728500 is a wasteful number, since it uses less digits than its factorization.

120728500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 120728500 is about 10987.6521604936. The cubic root of 120728500 is about 494.2385326534.

The spelling of 120728500 in words is "one hundred twenty million, seven hundred twenty-eight thousand, five hundred".