67133952 has 120 divisors (see below), whose sum is σ = 205389756. Its totient is φ = 21037056.

The previous prime is 67133951. The next prime is 67133953. The reversal of 67133952 is 25933176.

It is an interprime number because it is at equal distance from previous prime (67133951) and next prime (67133953).

It can be written as a sum of positive squares in 2 ways, for example, as 56791296 + 10342656 = 7536^2 + 3216^2 .

It is a super-2 number, since 2×67133952² = 9013935022276608, which contains 22 as substring.

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 (67133951) 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, 77908 + ... + 78764.

Almost surely, 2^67133952 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 67133952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102694878).

67133952 is an abundant number, since it is smaller than the sum of its proper divisors (138255804).

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

67133952 is a wasteful number, since it uses less digits than its factorization.

67133952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 879 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 67133952 is about 8193.5311069160. The cubic root of 67133952 is about 406.4253027419.

The spelling of 67133952 in words is "sixty-seven million, one hundred thirty-three thousand, nine hundred fifty-two".