72063642 has 64 divisors (see below), whose sum is σ = 171601920. Its totient is φ = 19745856.

The previous prime is 72063619. The next prime is 72063683. The reversal of 72063642 is 24636027.

72063642 is nontrivially palindromic in base 13.

It is an unprimeable number.

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, 122473 + ... + 123059.

It is an arithmetic number, because the mean of its divisors is an integer number (2681280).

Almost surely, 2^72063642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72063642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85800960).

72063642 is an abundant number, since it is smaller than the sum of its proper divisors (99538278).

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

72063642 is a wasteful number, since it uses less digits than its factorization.

72063642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715.

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 72063642 is about 8489.0306867157. The cubic root of 72063642 is about 416.1393032301.

Adding to 72063642 its reverse (24636027), we get a palindrome (96699669).

The spelling of 72063642 in words is "seventy-two million, sixty-three thousand, six hundred forty-two".