72099000 has 96 divisors (see below), whose sum is σ = 243725040. Its totient is φ = 19224000.

The previous prime is 72098993. The next prime is 72099007. The reversal of 72099000 is 99027.

It is an interprime number because it is at equal distance from previous prime (72098993) and next prime (72099007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72099007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4995 + ... + 13005.

Almost surely, 2^72099000 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 72099000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121862520).

72099000 is an abundant number, since it is smaller than the sum of its proper divisors (171626040).

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

72099000 is a wasteful number, since it uses less digits than its factorization.

72099000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8038 (or 8021 counting only the distinct ones).

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

The square root of 72099000 is about 8491.1130012502. The cubic root of 72099000 is about 416.2073516351.

Adding to 72099000 its sum of digits (27), we get a palindrome (72099027).

The spelling of 72099000 in words is "seventy-two million, ninety-nine thousand".