72009000 has 320 divisors, whose sum is σ = 289935360. Its totient is φ = 16329600.

The previous prime is 72008983. The next prime is 72009011. The reversal of 72009000 is 90027.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 566937 + ... + 567063.

It is an arithmetic number, because the mean of its divisors is an integer number (906048).

Almost surely, 2^72009000 is an apocalyptic number.

72009000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72009000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144967680).

72009000 is an abundant number, since it is smaller than the sum of its proper divisors (217926360).

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

72009000 is a wasteful number, since it uses less digits than its factorization.

72009000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 72009000 is about 8485.8116877527. The cubic root of 72009000 is about 416.0340979200.

Adding to 72009000 its reverse (90027), we get a palindrome (72099027).

The spelling of 72009000 in words is "seventy-two million, nine thousand".