67812672 has 112 divisors (see below), whose sum is σ = 195681600. Its totient is φ = 20643840.

The previous prime is 67812649. The next prime is 67812683. The reversal of 67812672 is 27621876.

It is a self number, because there is not a number n which added to its sum of digits gives 67812672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105472 + ... + 106112.

Almost surely, 2^67812672 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 67812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97840800).

67812672 is an abundant number, since it is smaller than the sum of its proper divisors (127868928).

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

67812672 is a wasteful number, since it uses less digits than its factorization.

67812672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 694 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 67812672 is about 8234.8449894336. The cubic root of 67812672 is about 407.7903575036.

It can be divided in two parts, 6781 and 2672, that added together give a triangular number (9453 = T₁₃₇).

The spelling of 67812672 in words is "sixty-seven million, eight hundred twelve thousand, six hundred seventy-two".