72618153 has 8 divisors (see below), whose sum is σ = 101034048. Its totient is φ = 46307184.

The previous prime is 72618127. The next prime is 72618157. The reversal of 72618153 is 35181627.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72618153 - 2¹⁷ = 72487081 is a prime.

It is a super-2 number, since 2×72618153² = 10546792290262818, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72618157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526150 + ... + 526287.

It is an arithmetic number, because the mean of its divisors is an integer number (12629256).

Almost surely, 2^72618153 is an apocalyptic number.

It is an amenable number.

72618153 is a deficient number, since it is larger than the sum of its proper divisors (28415895).

72618153 is a wasteful number, since it uses less digits than its factorization.

72618153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052463.

The product of its digits is 10080, while the sum is 33.

The square root of 72618153 is about 8521.6285415406. The cubic root of 72618153 is about 417.2039384537.

It can be divided in two parts, 72618 and 153, that added together give a triangular number (72771 = T₃₈₁).

The spelling of 72618153 in words is "seventy-two million, six hundred eighteen thousand, one hundred fifty-three".