72100320 has 48 divisors (see below), whose sum is σ = 227117520. Its totient is φ = 19226624.

The previous prime is 72100319. The next prime is 72100367. The reversal of 72100320 is 2300127.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×72100320² = 10396912288204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 72100320.

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, 74625 + ... + 75584.

It is an arithmetic number, because the mean of its divisors is an integer number (4731615).

Almost surely, 2^72100320 is an apocalyptic number.

It is an amenable number.

72100320 is an abundant number, since it is smaller than the sum of its proper divisors (155017200).

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

72100320 is a wasteful number, since it uses less digits than its factorization.

72100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150227 (or 150219 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 72100320 is about 8491.1907292205. The cubic root of 72100320 is about 416.2098916165.

Adding to 72100320 its reverse (2300127), we get a palindrome (74400447).

The spelling of 72100320 in words is "seventy-two million, one hundred thousand, three hundred twenty".