72114003 has 16 divisors (see below), whose sum is σ = 115054240. Its totient is φ = 44377632.

The previous prime is 72113959. The next prime is 72114011. The reversal of 72114003 is 30041127.

It is not a de Polignac number, because 72114003 - 2⁶ = 72113939 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72114023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102376 + ... + 103077.

It is an arithmetic number, because the mean of its divisors is an integer number (7190890).

Almost surely, 2^72114003 is an apocalyptic number.

72114003 is a deficient number, since it is larger than the sum of its proper divisors (42940237).

72114003 is a wasteful number, since it uses less digits than its factorization.

72114003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205475 (or 205469 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 72114003 is about 8491.9964083836. The cubic root of 72114003 is about 416.2362190065.

The spelling of 72114003 in words is "seventy-two million, one hundred fourteen thousand, three".