72159487400 has 864 divisors, whose sum is σ = 240049635840. Its totient is φ = 19958400000.

The previous prime is 72159487397. The next prime is 72159487403. The reversal of 72159487400 is 478495127.

It is an interprime number because it is at equal distance from previous prime (72159487397) and next prime (72159487403).

It is not an unprimeable number, because it can be changed into a prime (72159487403) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 477877325 + ... + 477877475.

Almost surely, 2^72159487400 is an apocalyptic number.

72159487400 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 72159487400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120024817920).

72159487400 is an abundant number, since it is smaller than the sum of its proper divisors (167890148440).

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

72159487400 is a wasteful number, since it uses less digits than its factorization.

72159487400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 47.

The spelling of 72159487400 in words is "seventy-two billion, one hundred fifty-nine million, four hundred eighty-seven thousand, four hundred".