72402214600 has 96 divisors (see below), whose sum is σ = 178329914280. Its totient is φ = 27243130880.

The previous prime is 72402214589. The next prime is 72402214627. The reversal of 72402214600 is 641220427.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 17131144996 + 55271069604 = 130886^2 + 235098^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8417502 + ... + 8426098.

Almost surely, 2^72402214600 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 72402214600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89164957140).

72402214600 is an abundant number, since it is smaller than the sum of its proper divisors (105927699680).

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

72402214600 is a wasteful number, since it uses less digits than its factorization.

72402214600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11107 (or 11098 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The spelling of 72402214600 in words is "seventy-two billion, four hundred two million, two hundred fourteen thousand, six hundred".