72097989600 has 1152 divisors, whose sum is σ = 311788044288. Its totient is φ = 14050713600.

The previous prime is 72097989539. The next prime is 72097989611. The reversal of 72097989600 is 698979027.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155718969 + ... + 155719431.

It is an arithmetic number, because the mean of its divisors is an integer number (270649344).

Almost surely, 2^72097989600 is an apocalyptic number.

72097989600 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 72097989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155894022144).

72097989600 is an abundant number, since it is smaller than the sum of its proper divisors (239690054688).

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

72097989600 is a wasteful number, since it uses less digits than its factorization.

72097989600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 57.

The spelling of 72097989600 in words is "seventy-two billion, ninety-seven million, nine hundred eighty-nine thousand, six hundred".