72093121 has 8 divisors (see below), whose sum is σ = 73274504. Its totient is φ = 70917120.

The previous prime is 72093097. The next prime is 72093137. The reversal of 72093121 is 12139027.

It can be written as a sum of positive squares in 4 ways, for example, as 29582721 + 42510400 = 5439^2 + 6520^2 .

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 72093121 - 2⁵ = 72093089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72093181) 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, 32281 + ... + 34441.

It is an arithmetic number, because the mean of its divisors is an integer number (9159313).

Almost surely, 2^72093121 is an apocalyptic number.

It is an amenable number.

72093121 is a deficient number, since it is larger than the sum of its proper divisors (1181383).

72093121 is a wasteful number, since it uses less digits than its factorization.

72093121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691.

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 72093121 is about 8490.7668087164. The cubic root of 72093121 is about 416.1960387203.

The spelling of 72093121 in words is "seventy-two million, ninety-three thousand, one hundred twenty-one".