72299840 has 56 divisors (see below), whose sum is σ = 173946312. Its totient is φ = 28620800.

The previous prime is 72299789. The next prime is 72299849. The reversal of 72299840 is 4899227.

It can be written as a sum of positive squares in 4 ways, for example, as 35236096 + 37063744 = 5936^2 + 6088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72299849) 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 7 ways as a sum of consecutive naturals, for example, 31202 + ... + 33438.

Almost surely, 2^72299840 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 72299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86973156).

72299840 is an abundant number, since it is smaller than the sum of its proper divisors (101646472).

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

72299840 is a wasteful number, since it uses less digits than its factorization.

72299840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 72299840 is about 8502.9312592776. The cubic root of 72299840 is about 416.5934577156.

The spelling of 72299840 in words is "seventy-two million, two hundred ninety-nine thousand, eight hundred forty".