67552128 has 96 divisors (see below), whose sum is σ = 222184560. Its totient is φ = 19298304.

The previous prime is 67552103. The next prime is 67552129. The reversal of 67552128 is 82125576.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 67552092 and 67552101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67552129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3876 + ... + 12252.

Almost surely, 2^67552128 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 67552128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111092280).

67552128 is an abundant number, since it is smaller than the sum of its proper divisors (154632432).

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

67552128 is a wasteful number, since it uses less digits than its factorization.

67552128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8404 (or 8389 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 67552128 is about 8219.0101593805. The cubic root of 67552128 is about 407.2674282319.

The spelling of 67552128 in words is "sixty-seven million, five hundred fifty-two thousand, one hundred twenty-eight".