67721472 has 432 divisors, whose sum is σ = 267845760. Its totient is φ = 15925248.

The previous prime is 67721461. The next prime is 67721473. The reversal of 67721472 is 27412776.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (67721473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3564279 + ... + 3564297.

Almost surely, 2^67721472 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 67721472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133922880).

67721472 is an abundant number, since it is smaller than the sum of its proper divisors (200124288).

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

67721472 is a wasteful number, since it uses less digits than its factorization.

67721472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 61 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 67721472 is about 8229.3056815262. The cubic root of 67721472 is about 407.6074656033.

The spelling of 67721472 in words is "sixty-seven million, seven hundred twenty-one thousand, four hundred seventy-two".