67488072 has 64 divisors (see below), whose sum is σ = 177914880. Its totient is φ = 21291072.

The previous prime is 67487983. The next prime is 67488073. The reversal of 67488072 is 27088476.

It is not an unprimeable number, because it can be changed into a prime (67488073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56263 + ... + 57449.

It is an arithmetic number, because the mean of its divisors is an integer number (2779920).

Almost surely, 2^67488072 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 67488072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88957440).

67488072 is an abundant number, since it is smaller than the sum of its proper divisors (110426808).

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

67488072 is a wasteful number, since it uses less digits than its factorization.

67488072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 67488072 is about 8215.1124155425. The cubic root of 67488072 is about 407.1386576887.

The spelling of 67488072 in words is "sixty-seven million, four hundred eighty-eight thousand, seventy-two".