72128310 has 32 divisors (see below), whose sum is σ = 173519712. Its totient is φ = 19188480.

The previous prime is 72128279. The next prime is 72128311. The reversal of 72128310 is 1382127.

It is a super-2 number, since 2×72128310² = 10404986206912200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72128311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11080 + ... + 16340.

It is an arithmetic number, because the mean of its divisors is an integer number (5422491).

Almost surely, 2^72128310 is an apocalyptic number.

72128310 is an abundant number, since it is smaller than the sum of its proper divisors (101391402).

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

72128310 is a wasteful number, since it uses less digits than its factorization.

72128310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 72128310 is about 8492.8387480277. The cubic root of 72128310 is about 416.2637434703.

The spelling of 72128310 in words is "seventy-two million, one hundred twenty-eight thousand, three hundred ten".