72213120 has 320 divisors, whose sum is σ = 296208000. Its totient is φ = 16422912.

The previous prime is 72213107. The next prime is 72213131. The reversal of 72213120 is 2131227.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 72213093 and 72213102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362781 + ... + 362979.

It is an arithmetic number, because the mean of its divisors is an integer number (925650).

Almost surely, 2^72213120 is an apocalyptic number.

72213120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148104000).

72213120 is an abundant number, since it is smaller than the sum of its proper divisors (223994880).

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

72213120 is a wasteful number, since it uses less digits than its factorization.

72213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 72213120 is about 8497.8303113206. The cubic root of 72213120 is about 416.4268301525.

Adding to 72213120 its reverse (2131227), we get a palindrome (74344347).

The spelling of 72213120 in words is "seventy-two million, two hundred thirteen thousand, one hundred twenty".