67236972 has 144 divisors (see below), whose sum is σ = 193560192. Its totient is φ = 17948160.

The previous prime is 67236971. The next prime is 67236973. The reversal of 67236972 is 27963276.

It is an interprime number because it is at equal distance from previous prime (67236971) and next prime (67236973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67236971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 810043 + ... + 810125.

It is an arithmetic number, because the mean of its divisors is an integer number (1344168).

Almost surely, 2^67236972 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 67236972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96780096).

67236972 is an abundant number, since it is smaller than the sum of its proper divisors (126323220).

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

67236972 is a wasteful number, since it uses less digits than its factorization.

67236972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 135 counting only the distinct ones).

The product of its digits is 190512, while the sum is 42.

The square root of 67236972 is about 8199.8153637750. The cubic root of 67236972 is about 406.6330889891.

It can be divided in two parts, 6723 and 6972, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 67236972 in words is "sixty-seven million, two hundred thirty-six thousand, nine hundred seventy-two".