72929448 has 96 divisors (see below), whose sum is σ = 210600000. Its totient is φ = 22733568.

The previous prime is 72929443. The next prime is 72929449. The reversal of 72929448 is 84492927.

It is not an unprimeable number, because it can be changed into a prime (72929443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121453 + ... + 122051.

It is an arithmetic number, because the mean of its divisors is an integer number (2193750).

Almost surely, 2^72929448 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 72929448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105300000).

72929448 is an abundant number, since it is smaller than the sum of its proper divisors (137670552).

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

72929448 is a wasteful number, since it uses less digits than its factorization.

72929448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 712 counting only the distinct ones).

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

The square root of 72929448 is about 8539.8740037544. The cubic root of 72929448 is about 417.7992366331.

The spelling of 72929448 in words is "seventy-two million, nine hundred twenty-nine thousand, four hundred forty-eight".