72098087040 has 640 divisors, whose sum is σ = 309774326400. Its totient is φ = 15610724352.

The previous prime is 72098086993. The next prime is 72098087041. The reversal of 72098087040 is 4078089027.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (72098087041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6889492 + ... + 6899948.

It is an arithmetic number, because the mean of its divisors is an integer number (484022385).

Almost surely, 2^72098087040 is an apocalyptic number.

72098087040 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 72098087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154887163200).

72098087040 is an abundant number, since it is smaller than the sum of its proper divisors (237676239360).

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

72098087040 is a wasteful number, since it uses less digits than its factorization.

72098087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10514 (or 10493 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 72098087040 in words is "seventy-two billion, ninety-eight million, eighty-seven thousand, forty".