72949672 has 32 divisors (see below), whose sum is σ = 140928480. Its totient is φ = 35380800.

The previous prime is 72949661. The next prime is 72949673. The reversal of 72949672 is 27694927.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (72949673) 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 7 ways as a sum of consecutive naturals, for example, 55422 + ... + 56722.

It is an arithmetic number, because the mean of its divisors is an integer number (4404015).

Almost surely, 2^72949672 is an apocalyptic number.

It is an amenable number.

72949672 is a deficient number, since it is larger than the sum of its proper divisors (67978808).

72949672 is a wasteful number, since it uses less digits than its factorization.

72949672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1509 counting only the distinct ones).

The product of its digits is 381024, while the sum is 46.

The square root of 72949672 is about 8541.0580140870. The cubic root of 72949672 is about 417.8378529080.

The spelling of 72949672 in words is "seventy-two million, nine hundred forty-nine thousand, six hundred seventy-two".