72149829 has 12 divisors (see below), whose sum is σ = 98496576. Its totient is φ = 46977672.

The previous prime is 72149813. The next prime is 72149837. The reversal of 72149829 is 92894127.

It is not a de Polignac number, because 72149829 - 2⁴ = 72149813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72149809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 957 + ... + 12050.

It is an arithmetic number, because the mean of its divisors is an integer number (8208048).

Almost surely, 2^72149829 is an apocalyptic number.

It is an amenable number.

72149829 is a deficient number, since it is larger than the sum of its proper divisors (26346747).

72149829 is a wasteful number, since it uses less digits than its factorization.

72149829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13096 (or 13053 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 72149829 is about 8494.1055444349. The cubic root of 72149829 is about 416.3051358576.

The spelling of 72149829 in words is "seventy-two million, one hundred forty-nine thousand, eight hundred twenty-nine".