72512220 has 96 divisors (see below), whose sum is σ = 223082496. Its totient is φ = 17452800.

The previous prime is 72512183. The next prime is 72512221. The reversal of 72512220 is 2221527.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72512221) 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 31 ways as a sum of consecutive naturals, for example, 119157 + ... + 119763.

It is an arithmetic number, because the mean of its divisors is an integer number (2323776).

Almost surely, 2^72512220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72512220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111541248).

72512220 is an abundant number, since it is smaller than the sum of its proper divisors (150570276).

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

72512220 is a wasteful number, since it uses less digits than its factorization.

72512220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 72512220 is about 8515.4107358365. The cubic root of 72512220 is about 417.0009718821. Note that the first 3 decimals are identical.

Adding to 72512220 its reverse (2221527), we get a palindrome (74733747).

The spelling of 72512220 in words is "seventy-two million, five hundred twelve thousand, two hundred twenty".