72153438 has 64 divisors (see below), whose sum is σ = 173878272. Its totient is φ = 19514880.

The previous prime is 72153427. The next prime is 72153443. The reversal of 72153438 is 83435127.

It is a super-2 number, since 2×72153438² = 10412237230439688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72153399 and 72153408.

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, 108828 + ... + 109488.

It is an arithmetic number, because the mean of its divisors is an integer number (2716848).

Almost surely, 2^72153438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72153438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86939136).

72153438 is an abundant number, since it is smaller than the sum of its proper divisors (101724834).

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

72153438 is a wasteful number, since it uses less digits than its factorization.

72153438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809.

The product of its digits is 20160, while the sum is 33.

The square root of 72153438 is about 8494.3179832168. The cubic root of 72153438 is about 416.3120770623.

The spelling of 72153438 in words is "seventy-two million, one hundred fifty-three thousand, four hundred thirty-eight".