72949248 has 100 divisors (see below), whose sum is σ = 217858080. Its totient is φ = 24302592.

The previous prime is 72949243. The next prime is 72949259. The reversal of 72949248 is 84294927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72949243) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40593 + ... + 42351.

Almost surely, 2^72949248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72949248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108929040).

72949248 is an abundant number, since it is smaller than the sum of its proper divisors (144908832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72949248 is an equidigital number, since it uses as much as digits as its factorization.

72949248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1764 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 72949248 is about 8541.0331927701. The cubic root of 72949248 is about 417.8370433837.

The spelling of 72949248 in words is "seventy-two million, nine hundred forty-nine thousand, two hundred forty-eight".