72147128 has 32 divisors (see below), whose sum is σ = 141372000. Its totient is φ = 34473600.

The previous prime is 72147107. The next prime is 72147181. The reversal of 72147128 is 82174127.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72147094 and 72147103.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 21893 + ... + 24971.

It is an arithmetic number, because the mean of its divisors is an integer number (4417875).

Almost surely, 2^72147128 is an apocalyptic number.

It is an amenable number.

72147128 is a deficient number, since it is larger than the sum of its proper divisors (69224872).

72147128 is a wasteful number, since it uses less digits than its factorization.

72147128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215 (or 3211 counting only the distinct ones).

The product of its digits is 6272, while the sum is 32.

The square root of 72147128 is about 8493.9465503381. The cubic root of 72147128 is about 416.2999408617.

The spelling of 72147128 in words is "seventy-two million, one hundred forty-seven thousand, one hundred twenty-eight".