68952672 has 72 divisors (see below), whose sum is σ = 206420760. Its totient is φ = 21772800.

The previous prime is 68952671. The next prime is 68952677. The reversal of 68952672 is 27625986.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68952671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 829 + ... + 11772.

It is an arithmetic number, because the mean of its divisors is an integer number (2866955).

Almost surely, 2^68952672 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 68952672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103210380).

68952672 is an abundant number, since it is smaller than the sum of its proper divisors (137468088).

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

68952672 is a wasteful number, since it uses less digits than its factorization.

68952672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12636 (or 12625 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 68952672 is about 8303.7745634139. The cubic root of 68952672 is about 410.0627942687.

It can be divided in two parts, 689 and 52672, that added together give a square (53361 = 231²).

The spelling of 68952672 in words is "sixty-eight million, nine hundred fifty-two thousand, six hundred seventy-two".