72490123600 has 30 divisors (see below), whose sum is σ = 174157522910. Its totient is φ = 28996049280.

The previous prime is 72490123591. The next prime is 72490123609. The reversal of 72490123600 is 632109427.

It is an interprime number because it is at equal distance from previous prime (72490123591) and next prime (72490123609).

It can be written as a sum of positive squares in 3 ways, for example, as 6695821584 + 65794302016 = 81828^2 + 256504^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72490123609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 90612255 + ... + 90613054.

Almost surely, 2^72490123600 is an apocalyptic number.

It is an amenable number.

72490123600 is an abundant number, since it is smaller than the sum of its proper divisors (101667399310).

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

72490123600 is a wasteful number, since it uses less digits than its factorization.

72490123600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181225327 (or 181225316 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 72490123600 in words is "seventy-two billion, four hundred ninety million, one hundred twenty-three thousand, six hundred".