72238153 has 16 divisors (see below), whose sum is σ = 81356800. Its totient is φ = 63685440.

The previous prime is 72238141. The next prime is 72238181. The reversal of 72238153 is 35183227.

It is not a de Polignac number, because 72238153 - 2⁵ = 72238121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72338153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30703 + ... + 32971.

It is an arithmetic number, because the mean of its divisors is an integer number (5084800).

Almost surely, 2^72238153 is an apocalyptic number.

It is an amenable number.

72238153 is a deficient number, since it is larger than the sum of its proper divisors (9118647).

72238153 is a wasteful number, since it uses less digits than its factorization.

72238153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392.

The product of its digits is 10080, while the sum is 31.

The square root of 72238153 is about 8499.3030890774. The cubic root of 72238153 is about 416.4749433325.

It can be divided in two parts, 7223 and 8153, that added together give a square (15376 = 124²).

The spelling of 72238153 in words is "seventy-two million, two hundred thirty-eight thousand, one hundred fifty-three".