72625448400 has 480 divisors, whose sum is σ = 260569322496. Its totient is φ = 17203200000.

The previous prime is 72625448321. The next prime is 72625448419. The reversal of 72625448400 is 484452627.

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 95 ways as a sum of consecutive naturals, for example, 25927000 + ... + 25929800.

Almost surely, 2^72625448400 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 72625448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130284661248).

72625448400 is an abundant number, since it is smaller than the sum of its proper divisors (187943874096).

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

72625448400 is a wasteful number, since it uses less digits than its factorization.

72625448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 72625448400 in words is "seventy-two billion, six hundred twenty-five million, four hundred forty-eight thousand, four hundred".