72147649 has 20 divisors (see below), whose sum is σ = 85150400. Its totient is φ = 61122600.

The previous prime is 72147641. The next prime is 72147671. The reversal of 72147649 is 94674127.

It is not a de Polignac number, because 72147649 - 2³ = 72147641 is a prime.

It is a Duffinian number.

Its product of digits (84672) is a multiple of the sum of its prime factors (378).

It is not an unprimeable number, because it can be changed into a prime (72147641) 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 19 ways as a sum of consecutive naturals, for example, 362452 + ... + 362650.

It is an arithmetic number, because the mean of its divisors is an integer number (4257520).

Almost surely, 2^72147649 is an apocalyptic number.

It is an amenable number.

72147649 is a deficient number, since it is larger than the sum of its proper divisors (13002751).

72147649 is an equidigital number, since it uses as much as digits as its factorization.

72147649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 357 counting only the distinct ones).

The product of its digits is 84672, while the sum is 40.

The square root of 72147649 is about 8493.9772191830. The cubic root of 72147649 is about 416.3009429425.

The spelling of 72147649 in words is "seventy-two million, one hundred forty-seven thousand, six hundred forty-nine".