72899040 has 96 divisors (see below), whose sum is σ = 237595680. Its totient is φ = 18765824.

The previous prime is 72899039. The next prime is 72899051. The reversal of 72899040 is 4099827.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 72899040.

It is a congruent number.

It is an unprimeable number.

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, 11302 + ... + 16538.

It is an arithmetic number, because the mean of its divisors is an integer number (2474955).

Almost surely, 2^72899040 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 72899040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118797840).

72899040 is an abundant number, since it is smaller than the sum of its proper divisors (164696640).

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

72899040 is a wasteful number, since it uses less digits than its factorization.

72899040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5284 (or 5276 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 72899040 is about 8538.0934640000. The cubic root of 72899040 is about 417.7411613030.

The spelling of 72899040 in words is "seventy-two million, eight hundred ninety-nine thousand, forty".