72612405 has 12 divisors (see below), whose sum is σ = 125861580. Its totient is φ = 38726592.

The previous prime is 72612401. The next prime is 72612437. The reversal of 72612405 is 50421627.

72612405 is a `hidden beast` number, since 7 + 2 + 612 + 40 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40870449 + 31741956 = 6393^2 + 5634^2 .

It is not a de Polignac number, because 72612405 - 2² = 72612401 is a prime.

It is a super-2 number, since 2×72612405² = 10545122719768050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72612401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 806760 + ... + 806849.

It is an arithmetic number, because the mean of its divisors is an integer number (10488465).

Almost surely, 2^72612405 is an apocalyptic number.

It is an amenable number.

72612405 is a deficient number, since it is larger than the sum of its proper divisors (53249175).

72612405 is a wasteful number, since it uses less digits than its factorization.

72612405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613620 (or 1613617 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 72612405 is about 8521.2912753878. The cubic root of 72612405 is about 417.1929304095.

It can be divided in two parts, 726 and 12405, that added together give a palindrome (13131).

The spelling of 72612405 in words is "seventy-two million, six hundred twelve thousand, four hundred five".