72455635 has 16 divisors (see below), whose sum is σ = 103689216. Its totient is φ = 47523168.

The previous prime is 72455549. The next prime is 72455671. The reversal of 72455635 is 53655427.

It is not a de Polignac number, because 72455635 - 2¹⁹ = 71931347 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72455594 and 72455603.

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 15 ways as a sum of consecutive naturals, for example, 44199 + ... + 45808.

It is an arithmetic number, because the mean of its divisors is an integer number (6480576).

Almost surely, 2^72455635 is an apocalyptic number.

72455635 is a deficient number, since it is larger than the sum of its proper divisors (31233581).

72455635 is a wasteful number, since it uses less digits than its factorization.

72455635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90042.

The product of its digits is 126000, while the sum is 37.

The square root of 72455635 is about 8512.0875817863. The cubic root of 72455635 is about 416.8924745816.

It can be divided in two parts, 7245 and 5635, that added together give a triangular number (12880 = T₁₆₀).

The spelling of 72455635 in words is "seventy-two million, four hundred fifty-five thousand, six hundred thirty-five".