72306100 has 36 divisors (see below), whose sum is σ = 166137804. Its totient is φ = 27220480.

The previous prime is 72306097. The next prime is 72306109. The reversal of 72306100 is 160327.

It can be written as a sum of positive squares in 6 ways, for example, as 599076 + 71707024 = 774^2 + 8468^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72306109) 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, 19567 + ... + 22966.

It is an arithmetic number, because the mean of its divisors is an integer number (4614939).

Almost surely, 2^72306100 is an apocalyptic number.

It is an amenable number.

72306100 is an abundant number, since it is smaller than the sum of its proper divisors (93831704).

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

72306100 is a wasteful number, since it uses less digits than its factorization.

72306100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42564 (or 42557 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 72306100 is about 8503.2993596603. The cubic root of 72306100 is about 416.6054807933.

Adding to 72306100 its reverse (160327), we get a palindrome (72466427).

The spelling of 72306100 in words is "seventy-two million, three hundred six thousand, one hundred".