67740032 has 32 divisors (see below), whose sum is σ = 135598800. Its totient is φ = 33707520.

The previous prime is 67740017. The next prime is 67740059. The reversal of 67740032 is 23004776.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×67740032² = 9177423870722048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 67739977 and 67740004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28157 + ... + 30467.

Almost surely, 2^67740032 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 67740032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67799400).

67740032 is an abundant number, since it is smaller than the sum of its proper divisors (67858768).

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

67740032 is a wasteful number, since it uses less digits than its factorization.

67740032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 67740032 is about 8230.4332814257. The cubic root of 67740032 is about 407.6446990111.

The spelling of 67740032 in words is "sixty-seven million, seven hundred forty thousand, thirty-two".