72999407600 has 480 divisors, whose sum is σ = 222937731072. Its totient is φ = 22394880000.

The previous prime is 72999407581. The next prime is 72999407609. The reversal of 72999407600 is 670499927.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72999407609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90011195 + ... + 90012005.

Almost surely, 2^72999407600 is an apocalyptic number.

72999407600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72999407600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111468865536).

72999407600 is an abundant number, since it is smaller than the sum of its proper divisors (149938323472).

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

72999407600 is a wasteful number, since it uses less digits than its factorization.

72999407600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 53.

The spelling of 72999407600 in words is "seventy-two billion, nine hundred ninety-nine million, four hundred seven thousand, six hundred".