72204762 has 64 divisors (see below), whose sum is σ = 170035200. Its totient is φ = 20015424.

The previous prime is 72204749. The next prime is 72204767. The reversal of 72204762 is 26740227.

It is not an unprimeable number, because it can be changed into a prime (72204767) 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, 362739 + ... + 362937.

It is an arithmetic number, because the mean of its divisors is an integer number (2656800).

Almost surely, 2^72204762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72204762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85017600).

72204762 is an abundant number, since it is smaller than the sum of its proper divisors (97830438).

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

72204762 is a wasteful number, since it uses less digits than its factorization.

72204762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427.

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 72204762 is about 8497.3385245028. The cubic root of 72204762 is about 416.4107636827.

Adding to 72204762 its reverse (26740227), we get a palindrome (98944989).

The spelling of 72204762 in words is "seventy-two million, two hundred four thousand, seven hundred sixty-two".