121752672 has 96 divisors (see below), whose sum is σ = 334666080. Its totient is φ = 38707200.

The previous prime is 121752649. The next prime is 121752677. The reversal of 121752672 is 276257121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121752677) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 280968 + ... + 281400.

It is an arithmetic number, because the mean of its divisors is an integer number (3486105).

Almost surely, 2^121752672 is an apocalyptic number.

121752672 is a gapful number since it is divisible by the number (12) 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 121752672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167333040).

121752672 is an abundant number, since it is smaller than the sum of its proper divisors (212913408).

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

121752672 is a wasteful number, since it uses less digits than its factorization.

121752672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 568 counting only the distinct ones).

The product of its digits is 11760, while the sum is 33.

The square root of 121752672 is about 11034.1593245702. The cubic root of 121752672 is about 495.6321848189.

The spelling of 121752672 in words is "one hundred twenty-one million, seven hundred fifty-two thousand, six hundred seventy-two".