72899376 has 80 divisors (see below), whose sum is σ = 207629568. Its totient is φ = 21856000.

The previous prime is 72899363. The next prime is 72899377. The reversal of 72899376 is 67399827.

It is not an unprimeable number, because it can be changed into a prime (72899377) 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 15 ways as a sum of consecutive naturals, for example, 52645 + ... + 54011.

Almost surely, 2^72899376 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 72899376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103814784).

72899376 is an abundant number, since it is smaller than the sum of its proper divisors (134730192).

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

72899376 is a wasteful number, since it uses less digits than its factorization.

72899376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1484 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 51.

The square root of 72899376 is about 8538.1131405012. The cubic root of 72899376 is about 417.7418031076.

The spelling of 72899376 in words is "seventy-two million, eight hundred ninety-nine thousand, three hundred seventy-six".