72624205 has 16 divisors (see below), whose sum is σ = 89806464. Its totient is φ = 56347200.

The previous prime is 72624203. The next prime is 72624241. The reversal of 72624205 is 50242627.

It is not a de Polignac number, because 72624205 - 2¹ = 72624203 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72624203) 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, 31347 + ... + 33583.

It is an arithmetic number, because the mean of its divisors is an integer number (5612904).

Almost surely, 2^72624205 is an apocalyptic number.

It is an amenable number.

72624205 is a deficient number, since it is larger than the sum of its proper divisors (17182259).

72624205 is a wasteful number, since it uses less digits than its factorization.

72624205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436.

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 72624205 is about 8521.9836305874. The cubic root of 72624205 is about 417.2155280631.

The spelling of 72624205 in words is "seventy-two million, six hundred twenty-four thousand, two hundred five".