67048072 has 96 divisors (see below), whose sum is σ = 160876800. Its totient is φ = 25958016.

The previous prime is 67047989. The next prime is 67048073. The reversal of 67048072 is 27084076.

It is a super-3 number, since 3×67048072³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (67048073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300553 + ... + 300775.

It is an arithmetic number, because the mean of its divisors is an integer number (1675800).

Almost surely, 2^67048072 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 67048072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80438400).

67048072 is an abundant number, since it is smaller than the sum of its proper divisors (93828728).

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

67048072 is a wasteful number, since it uses less digits than its factorization.

67048072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 67048072 is about 8188.2887101030. The cubic root of 67048072 is about 406.2519245037.

The spelling of 67048072 in words is "sixty-seven million, forty-eight thousand, seventy-two".