121572352 has 88 divisors (see below), whose sum is σ = 272365632. Its totient is φ = 53760000.

The previous prime is 121572349. The next prime is 121572361. The reversal of 121572352 is 253275121.

It is a tau number, because it is divible by the number of its divisors (88).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 121572352.

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 7 ways as a sum of consecutive naturals, for example, 484227 + ... + 484477.

It is an arithmetic number, because the mean of its divisors is an integer number (3095064).

Almost surely, 2^121572352 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 121572352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136182816).

121572352 is an abundant number, since it is smaller than the sum of its proper divisors (150793280).

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

121572352 is a wasteful number, since it uses less digits than its factorization.

121572352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 307 counting only the distinct ones).

The product of its digits is 4200, while the sum is 28.

The square root of 121572352 is about 11025.9853074453. The cubic root of 121572352 is about 495.3873810111.

The spelling of 121572352 in words is "one hundred twenty-one million, five hundred seventy-two thousand, three hundred fifty-two".