72099128 has 32 divisors (see below), whose sum is σ = 138715200. Its totient is φ = 35116032.

The previous prime is 72099119. The next prime is 72099143. The reversal of 72099128 is 82199027.

It is a junction number, because it is equal to n+sod(n) for n = 72099091 and 72099100.

It is a congruent number.

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, 126428 + ... + 126996.

It is an arithmetic number, because the mean of its divisors is an integer number (4334850).

Almost surely, 2^72099128 is an apocalyptic number.

It is an amenable number.

72099128 is a deficient number, since it is larger than the sum of its proper divisors (66616072).

72099128 is a wasteful number, since it uses less digits than its factorization.

72099128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 72099128 is about 8491.1205385391. The cubic root of 72099128 is about 416.2075979377.

It can be divided in two parts, 72099 and 128, that added together give a palindrome (72227).

The spelling of 72099128 in words is "seventy-two million, ninety-nine thousand, one hundred twenty-eight".