121765072 has 80 divisors (see below), whose sum is σ = 291856320. Its totient is φ = 48384000.

The previous prime is 121765057. The next prime is 121765073. The reversal of 121765072 is 270567121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121765073) 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, 42072 + ... + 44872.

It is an arithmetic number, because the mean of its divisors is an integer number (3648204).

Almost surely, 2^121765072 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 121765072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145928160).

121765072 is an abundant number, since it is smaller than the sum of its proper divisors (170091248).

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

121765072 is a wasteful number, since it uses less digits than its factorization.

121765072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 121765072 is about 11034.7212017341. The cubic root of 121765072 is about 495.6490102688.

The spelling of 121765072 in words is "one hundred twenty-one million, seven hundred sixty-five thousand, seventy-two".