67132152 has 72 divisors (see below), whose sum is σ = 188947200. Its totient is φ = 22359888.

The previous prime is 67132139. The next prime is 67132157. The reversal of 67132152 is 25123176.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×67132152² = 9013451664302208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67132157) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51849 + ... + 53127.

Almost surely, 2^67132152 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 67132152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94473600).

67132152 is an abundant number, since it is smaller than the sum of its proper divisors (121815048).

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

67132152 is an equidigital number, since it uses as much as digits as its factorization.

67132152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1284 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 67132152 is about 8193.4212634284. The cubic root of 67132152 is about 406.4216703420.

It can be divided in two parts, 671 and 32152, that added together give a palindrome (32823).

The spelling of 67132152 in words is "sixty-seven million, one hundred thirty-two thousand, one hundred fifty-two".