72535634 has 16 divisors (see below), whose sum is σ = 115364088. Its totient is φ = 34086912.

The previous prime is 72535627. The next prime is 72535643. The reversal of 72535634 is 43653527.

It can be written as a sum of positive squares in 4 ways, for example, as 46881409 + 25654225 = 6847^2 + 5065^2 .

It is a super-2 number, since 2×72535634² = 10522836399563912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72535594 and 72535603.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40502 + ... + 42254.

Almost surely, 2^72535634 is an apocalyptic number.

72535634 is a deficient number, since it is larger than the sum of its proper divisors (42828454).

72535634 is a wasteful number, since it uses less digits than its factorization.

72535634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989.

The product of its digits is 75600, while the sum is 35.

The square root of 72535634 is about 8516.7854264388. The cubic root of 72535634 is about 417.0458498813.

The spelling of 72535634 in words is "seventy-two million, five hundred thirty-five thousand, six hundred thirty-four".