72001033 has 4 divisors (see below), whose sum is σ = 77539588. Its totient is φ = 66462480.

The previous prime is 72001031. The next prime is 72001073. The reversal of 72001033 is 33010027.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 33010027 = 47 ⋅702341.

It can be written as a sum of positive squares in 2 ways, for example, as 31002624 + 40998409 = 5568^2 + 6403^2 .

It is a cyclic number.

It is not a de Polignac number, because 72001033 - 2¹ = 72001031 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72000998 and 72001016.

It is not an unprimeable number, because it can be changed into a prime (72001031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2769258 + ... + 2769283.

It is an arithmetic number, because the mean of its divisors is an integer number (19384897).

Almost surely, 2^72001033 is an apocalyptic number.

It is an amenable number.

72001033 is a deficient number, since it is larger than the sum of its proper divisors (5538555).

72001033 is a wasteful number, since it uses less digits than its factorization.

72001033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5538554.

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 72001033 is about 8485.3422441290. The cubic root of 72001033 is about 416.0187541625.

The spelling of 72001033 in words is "seventy-two million, one thousand, thirty-three".