72369864 has 144 divisors (see below), whose sum is σ = 231947820. Its totient is φ = 20321280.

The previous prime is 72369863. The next prime is 72369887. The reversal of 72369864 is 46896327.

It can be written as a sum of positive squares in 2 ways, for example, as 71267364 + 1102500 = 8442^2 + 1050^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72369863) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 257404 + ... + 257684.

Almost surely, 2^72369864 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 72369864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115973910).

72369864 is an abundant number, since it is smaller than the sum of its proper divisors (159577956).

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

72369864 is a wasteful number, since it uses less digits than its factorization.

72369864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 72369864 is about 8507.0479015931. The cubic root of 72369864 is about 416.7279076562.

The spelling of 72369864 in words is "seventy-two million, three hundred sixty-nine thousand, eight hundred sixty-four".