72121000 has 64 divisors (see below), whose sum is σ = 192890880. Its totient is φ = 24724800.

The previous prime is 72120991. The next prime is 72121001. The reversal of 72121000 is 12127.

It is not an unprimeable number, because it can be changed into a prime (72121001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1849 + ... + 12151.

It is an arithmetic number, because the mean of its divisors is an integer number (3013920).

Almost surely, 2^72121000 is an apocalyptic number.

72121000 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 72121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96445440).

72121000 is an abundant number, since it is smaller than the sum of its proper divisors (120769880).

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

72121000 is a wasteful number, since it uses less digits than its factorization.

72121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10331 (or 10317 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 72121000 is about 8492.4083745425. The cubic root of 72121000 is about 416.2496806113.

Adding to 72121000 its reverse (12127), we get a palindrome (72133127).

The spelling of 72121000 in words is "seventy-two million, one hundred twenty-one thousand".