72355121 has 8 divisors (see below), whose sum is σ = 73087560. Its totient is φ = 71626752.

The previous prime is 72355093. The next prime is 72355139. The reversal of 72355121 is 12155327.

It can be written as a sum of positive squares in 4 ways, for example, as 11826721 + 60528400 = 3439^2 + 7780^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72355121 - 2¹⁰ = 72354097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72355141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44165 + ... + 45773.

It is an arithmetic number, because the mean of its divisors is an integer number (9135945).

Almost surely, 2^72355121 is an apocalyptic number.

It is an amenable number.

72355121 is a deficient number, since it is larger than the sum of its proper divisors (732439).

72355121 is a wasteful number, since it uses less digits than its factorization.

72355121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035.

The product of its digits is 2100, while the sum is 26.

The square root of 72355121 is about 8506.1813406487. The cubic root of 72355121 is about 416.6996074935.

The spelling of 72355121 in words is "seventy-two million, three hundred fifty-five thousand, one hundred twenty-one".