72427953 has 16 divisors (see below), whose sum is σ = 106420160. Its totient is φ = 43533504.

The previous prime is 72427951. The next prime is 72427961. The reversal of 72427953 is 35972427.

It is not a de Polignac number, because 72427953 - 2¹ = 72427951 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72427951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19918 + ... + 23271.

It is an arithmetic number, because the mean of its divisors is an integer number (6651260).

Almost surely, 2^72427953 is an apocalyptic number.

It is an amenable number.

72427953 is a deficient number, since it is larger than the sum of its proper divisors (33992207).

72427953 is a wasteful number, since it uses less digits than its factorization.

72427953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43248.

The product of its digits is 105840, while the sum is 39.

The square root of 72427953 is about 8510.4613858474. The cubic root of 72427953 is about 416.8393759395.

The spelling of 72427953 in words is "seventy-two million, four hundred twenty-seven thousand, nine hundred fifty-three".