67206672 has 100 divisors (see below), whose sum is σ = 209530860. Its totient is φ = 20673792.

The previous prime is 67206641. The next prime is 67206673. The reversal of 67206672 is 27660276.

It can be written as a sum of positive squares in 2 ways, for example, as 19927296 + 47279376 = 4464^2 + 6876^2 .

It is a super-2 number, since 2×67206672² = 9033473522631168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (67206673) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14854 + ... + 18842.

Almost surely, 2^67206672 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 67206672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104765430).

67206672 is an abundant number, since it is smaller than the sum of its proper divisors (142324188).

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

67206672 is a wasteful number, since it uses less digits than its factorization.

67206672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 67206672 is about 8197.9675529975. The cubic root of 67206672 is about 406.5719974324.

The spelling of 67206672 in words is "sixty-seven million, two hundred six thousand, six hundred seventy-two".