72457033 has 16 divisors (see below), whose sum is σ = 81181440. Its totient is φ = 64105600.

The previous prime is 72457031. The next prime is 72457037. The reversal of 72457033 is 33075427.

It is a cyclic number.

It is not a de Polignac number, because 72457033 - 2¹ = 72457031 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72456986 and 72457004.

It is not an unprimeable number, because it can be changed into a prime (72457031) 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, 138813 + ... + 139333.

It is an arithmetic number, because the mean of its divisors is an integer number (5073840).

Almost surely, 2^72457033 is an apocalyptic number.

It is an amenable number.

72457033 is a deficient number, since it is larger than the sum of its proper divisors (8724407).

72457033 is a wasteful number, since it uses less digits than its factorization.

72457033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848.

The product of its (nonzero) digits is 17640, while the sum is 31.

The square root of 72457033 is about 8512.1696999061. The cubic root of 72457033 is about 416.8951558174.

The spelling of 72457033 in words is "seventy-two million, four hundred fifty-seven thousand, thirty-three".