72099417 has 16 divisors (see below), whose sum is σ = 103682880. Its totient is φ = 44302272.

The previous prime is 72099409. The next prime is 72099427. The reversal of 72099417 is 71499027.

It is not a de Polignac number, because 72099417 - 2³ = 72099409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (72099407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42418 + ... + 44084.

It is an arithmetic number, because the mean of its divisors is an integer number (6480180).

Almost surely, 2^72099417 is an apocalyptic number.

It is an amenable number.

72099417 is a deficient number, since it is larger than the sum of its proper divisors (31583463).

72099417 is a wasteful number, since it uses less digits than its factorization.

72099417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792.

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 72099417 is about 8491.1375562995. The cubic root of 72099417 is about 416.2081540417.

The spelling of 72099417 in words is "seventy-two million, ninety-nine thousand, four hundred seventeen".