72126324 has 18 divisors (see below), whose sum is σ = 182319410. Its totient is φ = 24042096.

The previous prime is 72126317. The next prime is 72126349. The reversal of 72126324 is 42362127.

72126324 is a `hidden beast` number, since 7 + 21 + 2 + 632 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42771600 + 29354724 = 6540^2 + 5418^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×72126324² = 10404413227505952, which contains 22 as substring.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 1001719 + ... + 1001790.

Almost surely, 2^72126324 is an apocalyptic number.

It is an amenable number.

72126324 is an abundant number, since it is smaller than the sum of its proper divisors (110193086).

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

72126324 is a wasteful number, since it uses less digits than its factorization.

72126324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003519 (or 2003514 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 72126324 is about 8492.7218251866. The cubic root of 72126324 is about 416.2599229299.

The spelling of 72126324 in words is "seventy-two million, one hundred twenty-six thousand, three hundred twenty-four".