67572128 has 48 divisors (see below), whose sum is σ = 144506880. Its totient is φ = 30917376.

The previous prime is 67572107. The next prime is 67572133. The reversal of 67572128 is 82127576.

It is a junction number, because it is equal to n+sod(n) for n = 67572091 and 67572100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52193 + ... + 53471.

It is an arithmetic number, because the mean of its divisors is an integer number (3010560).

Almost surely, 2^67572128 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 67572128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72253440).

67572128 is an abundant number, since it is smaller than the sum of its proper divisors (76934752).

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

67572128 is a wasteful number, since it uses less digits than its factorization.

67572128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1421 counting only the distinct ones).

The product of its digits is 47040, while the sum is 38.

The square root of 67572128 is about 8220.2267608625. The cubic root of 67572128 is about 407.3076171699.

The spelling of 67572128 in words is "sixty-seven million, five hundred seventy-two thousand, one hundred twenty-eight".