72403272 has 96 divisors (see below), whose sum is σ = 209547000. Its totient is φ = 22505472.

The previous prime is 72403217. The next prime is 72403291. The reversal of 72403272 is 27230427.

It can be written as a sum of positive squares in 4 ways, for example, as 62631396 + 9771876 = 7914^2 + 3126^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182178 + ... + 182574.

Almost surely, 2^72403272 is an apocalyptic number.

72403272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72403272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104773500).

72403272 is an abundant number, since it is smaller than the sum of its proper divisors (137143728).

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

72403272 is a wasteful number, since it uses less digits than its factorization.

72403272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 72403272 is about 8509.0112234031. The cubic root of 72403272 is about 416.7920223003.

Adding to 72403272 its reverse (27230427), we get a palindrome (99633699).

The spelling of 72403272 in words is "seventy-two million, four hundred three thousand, two hundred seventy-two".