72405117 has 16 divisors (see below), whose sum is σ = 107423680. Its totient is φ = 48199536.

The previous prime is 72405107. The next prime is 72405167. The reversal of 72405117 is 71150427.

It is not a de Polignac number, because 72405117 - 2¹⁴ = 72388733 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72405107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22323 + ... + 25359.

It is an arithmetic number, because the mean of its divisors is an integer number (6713980).

Almost surely, 2^72405117 is an apocalyptic number.

It is an amenable number.

72405117 is a deficient number, since it is larger than the sum of its proper divisors (35018563).

72405117 is a wasteful number, since it uses less digits than its factorization.

72405117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3929 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 72405117 is about 8509.1196371893. The cubic root of 72405117 is about 416.7955625397.

The spelling of 72405117 in words is "seventy-two million, four hundred five thousand, one hundred seventeen".