67272480 has 288 divisors, whose sum is σ = 260402688. Its totient is φ = 15667200.

The previous prime is 67272473. The next prime is 67272481. The reversal of 67272480 is 8427276.

It is a tau number, because it is divible by the number of its divisors (288).

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 (67272481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490972 + ... + 491108.

It is an arithmetic number, because the mean of its divisors is an integer number (904176).

Almost surely, 2^67272480 is an apocalyptic number.

67272480 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 67272480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130201344).

67272480 is an abundant number, since it is smaller than the sum of its proper divisors (193130208).

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

67272480 is a wasteful number, since it uses less digits than its factorization.

67272480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 67272480 is about 8201.9802486960. The cubic root of 67272480 is about 406.7046576828.

The spelling of 67272480 in words is "sixty-seven million, two hundred seventy-two thousand, four hundred eighty".