72153601 has 16 divisors (see below), whose sum is σ = 79833600. Its totient is φ = 64795968.

The previous prime is 72153581. The next prime is 72153611. The reversal of 72153601 is 10635127.

It is a cyclic number.

It is not a de Polignac number, because 72153601 - 2²¹ = 70056449 is a prime.

It is a super-2 number, since 2×72153601² = 10412284274534402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72153611) by changing a digit.

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, 164140 + ... + 164578.

It is an arithmetic number, because the mean of its divisors is an integer number (4989600).

Almost surely, 2^72153601 is an apocalyptic number.

It is an amenable number.

72153601 is a deficient number, since it is larger than the sum of its proper divisors (7679999).

72153601 is a wasteful number, since it uses less digits than its factorization.

72153601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 72153601 is about 8494.3275778604. The cubic root of 72153601 is about 416.3123905554.

Adding to 72153601 its reverse (10635127), we get a palindrome (82788728).

It can be divided in two parts, 7215 and 3601, that added together give a square (10816 = 104²).

The spelling of 72153601 in words is "seventy-two million, one hundred fifty-three thousand, six hundred one".