72153312 has 192 divisors, whose sum is σ = 242694144. Its totient is φ = 18224640.

The previous prime is 72153281. The next prime is 72153329. The reversal of 72153312 is 21335127.

It is a super-2 number, since 2×72153312² = 10412200865138688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317743 + ... + 317969.

It is an arithmetic number, because the mean of its divisors is an integer number (1264032).

Almost surely, 2^72153312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72153312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121347072).

72153312 is an abundant number, since it is smaller than the sum of its proper divisors (170540832).

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

72153312 is a wasteful number, since it uses less digits than its factorization.

72153312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 293 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 72153312 is about 8494.3105664910. The cubic root of 72153312 is about 416.3118347299.

Adding to 72153312 its reverse (21335127), we get a palindrome (93488439).

The spelling of 72153312 in words is "seventy-two million, one hundred fifty-three thousand, three hundred twelve".