153268272 has 60 divisors (see below), whose sum is σ = 430568424. Its totient is φ = 50895360.

The previous prime is 153268261. The next prime is 153268273. The reversal of 153268272 is 272862351.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (153268273) 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, 38872 + ... + 42632.

Almost surely, 2^153268272 is an apocalyptic number.

153268272 is a gapful number since it is divisible by the number (12) 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 153268272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215284212).

153268272 is an abundant number, since it is smaller than the sum of its proper divisors (277300152).

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

153268272 is a wasteful number, since it uses less digits than its factorization.

153268272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058 (or 4049 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 153268272 is about 12380.1563802724. The cubic root of 153268272 is about 535.1605445922.

The spelling of 153268272 in words is "one hundred fifty-three million, two hundred sixty-eight thousand, two hundred seventy-two".