72990000 has 150 divisors (see below), whose sum is σ = 255571316. Its totient is φ = 19440000.

The previous prime is 72989989. The next prime is 72990007. The reversal of 72990000 is 9927.

It is a tau number, because it is divible by the number of its divisors (150).

It is not an unprimeable number, because it can be changed into a prime (72990007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89595 + ... + 90405.

Almost surely, 2^72990000 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 72990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127785658).

72990000 is an abundant number, since it is smaller than the sum of its proper divisors (182581316).

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

72990000 is a wasteful number, since it uses less digits than its factorization.

72990000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 72990000 is about 8543.4185195389. The cubic root of 72990000 is about 417.9148350260.

Adding to 72990000 its reverse (9927), we get a palindrome (72999927).

It can be divided in two parts, 729 and 90000, that multiplied together give a 4-th power (65610000 = 90⁴).

The spelling of 72990000 in words is "seventy-two million, nine hundred ninety thousand".