72350000 has 60 divisors (see below), whose sum is σ = 175332528. Its totient is φ = 28920000.

The previous prime is 72349993. The next prime is 72350009. The reversal of 72350000 is 5327.

It is not an unprimeable number, because it can be changed into a prime (72350009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49277 + ... + 50723.

Almost surely, 2^72350000 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 72350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87666264).

72350000 is an abundant number, since it is smaller than the sum of its proper divisors (102982528).

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

72350000 is an equidigital number, since it uses as much as digits as its factorization.

72350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 72350000 is about 8505.8803189323. The cubic root of 72350000 is about 416.6897764960.

Adding to 72350000 its reverse (5327), we get a palindrome (72355327).

The spelling of 72350000 in words is "seventy-two million, three hundred fifty thousand".