72394672 has 80 divisors (see below), whose sum is σ = 171417600. Its totient is φ = 28949760.

The previous prime is 72394633. The next prime is 72394697. The reversal of 72394672 is 27649327.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 100329 + ... + 101047.

It is an arithmetic number, because the mean of its divisors is an integer number (2142720).

Almost surely, 2^72394672 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 72394672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85708800).

72394672 is an abundant number, since it is smaller than the sum of its proper divisors (99022928).

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

72394672 is a wasteful number, since it uses less digits than its factorization.

72394672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 788 counting only the distinct ones).

The product of its digits is 127008, while the sum is 40.

The square root of 72394672 is about 8508.5058617833. The cubic root of 72394672 is about 416.7755195778.

It can be divided in two parts, 7239 and 4672, that added together give a palindrome (11911).

The spelling of 72394672 in words is "seventy-two million, three hundred ninety-four thousand, six hundred seventy-two".