60729120 has 144 divisors (see below), whose sum is σ = 209277432. Its totient is φ = 16035840.

The previous prime is 60729101. The next prime is 60729127. The reversal of 60729120 is 2192706.

60729120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19820304 + 40908816 = 4452^2 + 6396^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (60729127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260524 + ... + 260756.

Almost surely, 2^60729120 is an apocalyptic number.

60729120 is a gapful number since it is divisible by the number (60) 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 60729120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104638716).

60729120 is an abundant number, since it is smaller than the sum of its proper divisors (148548312).

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

60729120 is a wasteful number, since it uses less digits than its factorization.

60729120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 60729120 is about 7792.8890663219. The cubic root of 60729120 is about 393.0661660443.

The spelling of 60729120 in words is "sixty million, seven hundred twenty-nine thousand, one hundred twenty".