72120000 has 140 divisors (see below), whose sum is σ = 238842296. Its totient is φ = 19200000.

The previous prime is 72119977. The next prime is 72120031. The reversal of 72120000 is 2127.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119700 + ... + 120300.

Almost surely, 2^72120000 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 72120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119421148).

72120000 is an abundant number, since it is smaller than the sum of its proper divisors (166722296).

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

72120000 is an equidigital number, since it uses as much as digits as its factorization.

72120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 72120000 is about 8492.3494982249. The cubic root of 72120000 is about 416.2477567537.

Adding to 72120000 its reverse (2127), we get a palindrome (72122127).

The spelling of 72120000 in words is "seventy-two million, one hundred twenty thousand".