60735672 has 72 divisors (see below), whose sum is σ = 168353640. Its totient is φ = 19776960.

The previous prime is 60735667. The next prime is 60735683. The reversal of 60735672 is 27653706.

It is a happy number.

60735672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 557154 + ... + 557262.

It is an arithmetic number, because the mean of its divisors is an integer number (2338245).

Almost surely, 2^60735672 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 60735672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84176820).

60735672 is an abundant number, since it is smaller than the sum of its proper divisors (107617968).

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

60735672 is a wasteful number, since it uses less digits than its factorization.

60735672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 60735672 is about 7793.3094382297. The cubic root of 60735672 is about 393.0803013658.

The spelling of 60735672 in words is "sixty million, seven hundred thirty-five thousand, six hundred seventy-two".