72301350 has 96 divisors (see below), whose sum is σ = 202487040. Its totient is φ = 16912000.

The previous prime is 72301349. The next prime is 72301363. The reversal of 72301350 is 5310327.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47095 + ... + 48605.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 2^72301350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72301350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101243520).

72301350 is an abundant number, since it is smaller than the sum of its proper divisors (130185690).

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

72301350 is a wasteful number, since it uses less digits than its factorization.

72301350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 72301350 is about 8503.0200517228. The cubic root of 72301350 is about 416.5963579145.

Adding to 72301350 its reverse (5310327), we get a palindrome (77611677).

The spelling of 72301350 in words is "seventy-two million, three hundred one thousand, three hundred fifty".