72553638 has 32 divisors (see below), whose sum is σ = 152036352. Its totient is φ = 23038400.

The previous prime is 72553631. The next prime is 72553643. The reversal of 72553638 is 83635527.

It is a junction number, because it is equal to n+sod(n) for n = 72553596 and 72553605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72553631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37843 + ... + 39713.

It is an arithmetic number, because the mean of its divisors is an integer number (4751136).

Almost surely, 2^72553638 is an apocalyptic number.

72553638 is an abundant number, since it is smaller than the sum of its proper divisors (79482714).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72553638 is a wasteful number, since it uses less digits than its factorization.

72553638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180.

The product of its digits is 151200, while the sum is 39.

The square root of 72553638 is about 8517.8423324220. The cubic root of 72553638 is about 417.0803518768.

The spelling of 72553638 in words is "seventy-two million, five hundred fifty-three thousand, six hundred thirty-eight".