72149211 has 20 divisors (see below), whose sum is σ = 108077200. Its totient is φ = 47966256.

The previous prime is 72149191. The next prime is 72149221. The reversal of 72149211 is 11294127.

It is not a de Polignac number, because 72149211 - 2¹³ = 72141019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72149221) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34545 + ... + 36573.

It is an arithmetic number, because the mean of its divisors is an integer number (5403860).

Almost surely, 2^72149211 is an apocalyptic number.

72149211 is a deficient number, since it is larger than the sum of its proper divisors (35927989).

72149211 is a wasteful number, since it uses less digits than its factorization.

72149211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2471 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 72149211 is about 8494.0691661888. The cubic root of 72149211 is about 416.3039472325.

The spelling of 72149211 in words is "seventy-two million, one hundred forty-nine thousand, two hundred eleven".