67748072 has 64 divisors (see below), whose sum is σ = 156643200. Its totient is φ = 26818560.

The previous prime is 67748071. The next prime is 67748081. The reversal of 67748072 is 27084776.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (67748071) 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, 42848 + ... + 44400.

It is an arithmetic number, because the mean of its divisors is an integer number (2447550).

Almost surely, 2^67748072 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 67748072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78321600).

67748072 is an abundant number, since it is smaller than the sum of its proper divisors (88895128).

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

67748072 is a wasteful number, since it uses less digits than its factorization.

67748072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 41.

The square root of 67748072 is about 8230.9216980846. The cubic root of 67748072 is about 407.6608260271.

The spelling of 67748072 in words is "sixty-seven million, seven hundred forty-eight thousand, seventy-two".