72671400000 has 504 divisors, whose sum is σ = 266206711680. Its totient is φ = 18944640000.

The previous prime is 72671399993. The next prime is 72671400007. The reversal of 72671400000 is 417627.

It is an interprime number because it is at equal distance from previous prime (72671399993) and next prime (72671400007).

It is a super-2 number, since 2×72671400000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72671400007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84599571 + ... + 84600429.

It is an arithmetic number, because the mean of its divisors is an integer number (528187920).

Almost surely, 2^72671400000 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 72671400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133103355840).

72671400000 is an abundant number, since it is smaller than the sum of its proper divisors (193535311680).

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

72671400000 is an equidigital number, since it uses as much as digits as its factorization.

72671400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

Adding to 72671400000 its reverse (417627), we get a palindrome (72671817627).

The spelling of 72671400000 in words is "seventy-two billion, six hundred seventy-one million, four hundred thousand".