67801272 has 128 divisors (see below), whose sum is σ = 222566400. Its totient is φ = 16675200.

The previous prime is 67801271. The next prime is 67801273. The reversal of 67801272 is 27210876.

It is an interprime number because it is at equal distance from previous prime (67801271) and next prime (67801273).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67801271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34147 + ... + 36077.

It is an arithmetic number, because the mean of its divisors is an integer number (1738800).

Almost surely, 2^67801272 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 67801272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111283200).

67801272 is an abundant number, since it is smaller than the sum of its proper divisors (154765128).

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

67801272 is a wasteful number, since it uses less digits than its factorization.

67801272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 67801272 is about 8234.1527797339. The cubic root of 67801272 is about 407.7675049872.

The spelling of 67801272 in words is "sixty-seven million, eight hundred one thousand, two hundred seventy-two".