67530672 has 120 divisors (see below), whose sum is σ = 213944640. Its totient is φ = 20450880.

The previous prime is 67530653. The next prime is 67530677. The reversal of 67530672 is 27603576.

It is a happy number.

67530672 is a `hidden beast` number, since 67 + 530 + 67 + 2 = 666.

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 (67530677) 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, 41979 + ... + 43557.

It is an arithmetic number, because the mean of its divisors is an integer number (1782872).

Almost surely, 2^67530672 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 67530672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106972320).

67530672 is an abundant number, since it is smaller than the sum of its proper divisors (146413968).

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

67530672 is a wasteful number, since it uses less digits than its factorization.

67530672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 67530672 is about 8217.7047890515. The cubic root of 67530672 is about 407.2243047187.

The spelling of 67530672 in words is "sixty-seven million, five hundred thirty thousand, six hundred seventy-two".