67272660 has 288 divisors, whose sum is σ = 264741120. Its totient is φ = 13810176.

The previous prime is 67272649. The next prime is 67272661. The reversal of 67272660 is 6627276.

It is a super-2 number, since 2×67272660² = 9051221566951200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67272661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1818162 + ... + 1818198.

It is an arithmetic number, because the mean of its divisors is an integer number (919240).

Almost surely, 2^67272660 is an apocalyptic number.

67272660 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67272660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132370560).

67272660 is an abundant number, since it is smaller than the sum of its proper divisors (197468460).

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

67272660 is a wasteful number, since it uses less digits than its factorization.

67272660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 67 counting only the distinct ones).

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

The square root of 67272660 is about 8201.9912216486. The cubic root of 67272660 is about 406.7050204204.

The spelling of 67272660 in words is "sixty-seven million, two hundred seventy-two thousand, six hundred sixty".