72457353 has 6 divisors (see below), whose sum is σ = 104660634. Its totient is φ = 48304896.

The previous prime is 72457331. The next prime is 72457367. The reversal of 72457353 is 35375427.

It can be written as a sum of positive squares in only one way, i.e., 72386064 + 71289 = 8508^2 + 267^2 .

It is not a de Polignac number, because 72457353 - 2¹⁶ = 72391817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72457313) 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 5 ways as a sum of consecutive naturals, for example, 4025400 + ... + 4025417.

It is an arithmetic number, because the mean of its divisors is an integer number (17443439).

Almost surely, 2^72457353 is an apocalyptic number.

It is an amenable number.

72457353 is a deficient number, since it is larger than the sum of its proper divisors (32203281).

72457353 is a wasteful number, since it uses less digits than its factorization.

72457353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8050823 (or 8050820 counting only the distinct ones).

The product of its digits is 88200, while the sum is 36.

The square root of 72457353 is about 8512.1884965031. The cubic root of 72457353 is about 416.8957695432.

The spelling of 72457353 in words is "seventy-two million, four hundred fifty-seven thousand, three hundred fifty-three".