121767072 has 48 divisors (see below), whose sum is σ = 365303232. Its totient is φ = 34790400.

The previous prime is 121767053. The next prime is 121767103. The reversal of 121767072 is 270767121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89929 + ... + 91272.

It is an arithmetic number, because the mean of its divisors is an integer number (7610484).

Almost surely, 2^121767072 is an apocalyptic number.

121767072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121767072 is an abundant number, since it is smaller than the sum of its proper divisors (243536160).

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

121767072 is a wasteful number, since it uses less digits than its factorization.

121767072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181221 (or 181213 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 33.

The square root of 121767072 is about 11034.8118244037. The cubic root of 121767072 is about 495.6517239441.

The spelling of 121767072 in words is "one hundred twenty-one million, seven hundred sixty-seven thousand, seventy-two".