67232736 has 144 divisors (see below), whose sum is σ = 201080880. Its totient is φ = 21288960.

The previous prime is 67232731. The next prime is 67232741. The reversal of 67232736 is 63723276.

It is an interprime number because it is at equal distance from previous prime (67232731) and next prime (67232741).

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 67232736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67232731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 755380 + ... + 755468.

It is an arithmetic number, because the mean of its divisors is an integer number (1396395).

Almost surely, 2^67232736 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 67232736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100540440).

67232736 is an abundant number, since it is smaller than the sum of its proper divisors (133848144).

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

67232736 is a wasteful number, since it uses less digits than its factorization.

67232736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 198 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 67232736 is about 8199.5570612076. The cubic root of 67232736 is about 406.6245493722.

The spelling of 67232736 in words is "sixty-seven million, two hundred thirty-two thousand, seven hundred thirty-six".