72004733 has 4 divisors (see below), whose sum is σ = 73760988. Its totient is φ = 70248480.

The previous prime is 72004727. The next prime is 72004759. The reversal of 72004733 is 33740027.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 33740027 = 563 ⋅59929.

It can be written as a sum of positive squares in 2 ways, for example, as 30492484 + 41512249 = 5522^2 + 6443^2 .

It is a cyclic number.

It is not a de Polignac number, because 72004733 - 2¹⁰ = 72003709 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72004033) 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, 878066 + ... + 878147.

It is an arithmetic number, because the mean of its divisors is an integer number (18440247).

Almost surely, 2^72004733 is an apocalyptic number.

It is an amenable number.

72004733 is a deficient number, since it is larger than the sum of its proper divisors (1756255).

72004733 is a wasteful number, since it uses less digits than its factorization.

72004733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756254.

The product of its (nonzero) digits is 3528, while the sum is 26.

The square root of 72004733 is about 8485.5602643550. The cubic root of 72004733 is about 416.0258801854.

The spelling of 72004733 in words is "seventy-two million, four thousand, seven hundred thirty-three".