72153325 has 12 divisors (see below), whose sum is σ = 90265428. Its totient is φ = 57209600.

The previous prime is 72153281. The next prime is 72153329. The reversal of 72153325 is 52335127.

It can be written as a sum of positive squares in 6 ways, for example, as 16232841 + 55920484 = 4029^2 + 7478^2 .

It is not a de Polignac number, because 72153325 - 2⁷ = 72153197 is a prime.

It is a super-2 number, since 2×72153325² = 10412204617111250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72153293 and 72153302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72153329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9946 + ... + 15595.

It is an arithmetic number, because the mean of its divisors is an integer number (7522119).

Almost surely, 2^72153325 is an apocalyptic number.

It is an amenable number.

72153325 is a deficient number, since it is larger than the sum of its proper divisors (18112103).

72153325 is a wasteful number, since it uses less digits than its factorization.

72153325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25664 (or 25659 counting only the distinct ones).

The product of its digits is 6300, while the sum is 28.

The square root of 72153325 is about 8494.3113317090. The cubic root of 72153325 is about 416.3118597324.

The spelling of 72153325 in words is "seventy-two million, one hundred fifty-three thousand, three hundred twenty-five".