72536442 has 64 divisors (see below), whose sum is σ = 164989440. Its totient is φ = 21067200.

The previous prime is 72536423. The next prime is 72536447. The reversal of 72536442 is 24463527.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (72536447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172909 + ... + 173327.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2^72536442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72536442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

72536442 is an abundant number, since it is smaller than the sum of its proper divisors (92452998).

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

72536442 is a wasteful number, since it uses less digits than its factorization.

72536442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539.

The product of its digits is 40320, while the sum is 33.

The square root of 72536442 is about 8516.8328620444. The cubic root of 72536442 is about 417.0473984158.

Adding to 72536442 its reverse (24463527), we get a palindrome (96999969).

It can be divided in two parts, 7253 and 6442, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 72536442 in words is "seventy-two million, five hundred thirty-six thousand, four hundred forty-two".