72084097 has 8 divisors (see below), whose sum is σ = 76418856. Its totient is φ = 67759872.

The previous prime is 72084079. The next prime is 72084107. The reversal of 72084097 is 79048027.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17338896 + 54745201 = 4164^2 + 7399^2 .

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 72084097 - 2¹⁹ = 71559809 is a prime.

It is a super-2 number, since 2×72084097² = 10392234080610818, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72084197) 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, 14823 + ... + 19075.

It is an arithmetic number, because the mean of its divisors is an integer number (9552357).

Almost surely, 2^72084097 is an apocalyptic number.

It is an amenable number.

72084097 is a deficient number, since it is larger than the sum of its proper divisors (4334759).

72084097 is a wasteful number, since it uses less digits than its factorization.

72084097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5267.

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 72084097 is about 8490.2353913187. The cubic root of 72084097 is about 416.1786727095.

The spelling of 72084097 in words is "seventy-two million, eighty-four thousand, ninety-seven".