68520672 has 144 divisors (see below), whose sum is σ = 217945728. Its totient is φ = 20240640.

The previous prime is 68520671. The next prime is 68520701. The reversal of 68520672 is 27602586.

68520672 is a `hidden beast` number, since 68 + 520 + 6 + 72 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68520671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135973 + ... + 136475.

It is an arithmetic number, because the mean of its divisors is an integer number (1513512).

Almost surely, 2^68520672 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 68520672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108972864).

68520672 is an abundant number, since it is smaller than the sum of its proper divisors (149425056).

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

68520672 is a wasteful number, since it uses less digits than its factorization.

68520672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 68520672 is about 8277.7214256098. The cubic root of 68520672 is about 409.2046289641.

The spelling of 68520672 in words is "sixty-eight million, five hundred twenty thousand, six hundred seventy-two".