72002705 has 8 divisors (see below), whose sum is σ = 86881704. Its totient is φ = 57283200.

The previous prime is 72002687. The next prime is 72002713. The reversal of 72002705 is 50720027.

It can be written as a sum of positive squares in 4 ways, for example, as 3179089 + 68823616 = 1783^2 + 8296^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72002705 - 2⁶ = 72002641 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 38876 + ... + 40685.

It is an arithmetic number, because the mean of its divisors is an integer number (10860213).

Almost surely, 2^72002705 is an apocalyptic number.

It is an amenable number.

72002705 is a deficient number, since it is larger than the sum of its proper divisors (14878999).

72002705 is a wasteful number, since it uses less digits than its factorization.

72002705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79747.

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 72002705 is about 8485.4407663951. The cubic root of 72002705 is about 416.0219743847.

The spelling of 72002705 in words is "seventy-two million, two thousand, seven hundred five".