72013005 has 24 divisors (see below), whose sum is σ = 125044920. Its totient is φ = 38338560.

The previous prime is 72012991. The next prime is 72013043. The reversal of 72013005 is 50031027.

It can be written as a sum of positive squares in 4 ways, for example, as 3006756 + 69006249 = 1734^2 + 8307^2 .

It is not a de Polignac number, because 72013005 - 2⁵ = 72012973 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33565 + ... + 35645.

It is an arithmetic number, because the mean of its divisors is an integer number (5210205).

Almost surely, 2^72013005 is an apocalyptic number.

It is an amenable number.

72013005 is a deficient number, since it is larger than the sum of its proper divisors (53031915).

72013005 is a wasteful number, since it uses less digits than its factorization.

72013005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 72013005 is about 8486.0476666114. The cubic root of 72013005 is about 416.0418107785.

It can be divided in two parts, 720 and 13005, that multiplied together give a square (9363600 = 3060²).

The spelling of 72013005 in words is "seventy-two million, thirteen thousand, five".