122625072 has 60 divisors (see below), whose sum is σ = 346757320. Its totient is φ = 40449024.

The previous prime is 122625053. The next prime is 122625073. The reversal of 122625072 is 270526221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122625073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9579 + ... + 18357.

Almost surely, 2^122625072 is an apocalyptic number.

122625072 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 122625072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173378660).

122625072 is an abundant number, since it is smaller than the sum of its proper divisors (224132248).

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

122625072 is a wasteful number, since it uses less digits than its factorization.

122625072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8890 (or 8881 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 122625072 is about 11073.6205461448. The cubic root of 122625072 is about 496.8131605964.

The spelling of 122625072 in words is "one hundred twenty-two million, six hundred twenty-five thousand, seventy-two".