72120360 has 128 divisors (see below), whose sum is σ = 236234880. Its totient is φ = 17507328.

The previous prime is 72120337. The next prime is 72120383. The reversal of 72120360 is 6302127.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72120337) and next prime (72120383).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129202 + ... + 129758.

It is an arithmetic number, because the mean of its divisors is an integer number (1845585).

Almost surely, 2^72120360 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 72120360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118117440).

72120360 is an abundant number, since it is smaller than the sum of its proper divisors (164114520).

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

72120360 is a wasteful number, since it uses less digits than its factorization.

72120360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 72120360 is about 8492.3706937462. The cubic root of 72120360 is about 416.2484493445.

Adding to 72120360 its reverse (6302127), we get a palindrome (78422487).

The spelling of 72120360 in words is "seventy-two million, one hundred twenty thousand, three hundred sixty".