72000072072 has 64 divisors (see below), whose sum is σ = 200078424000. Its totient is φ = 23990637312.

The previous prime is 72000072071. The next prime is 72000072073. The reversal of 72000072072 is 27027000027.

It is an interprime number because it is at equal distance from previous prime (72000072071) and next prime (72000072073).

It is a Harshad number since it is a multiple of its sum of digits (27).

72000072072 is a modest number, since divided by 72072 gives 72000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (72000072071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499663 + ... + 627425.

It is an arithmetic number, because the mean of its divisors is an integer number (3126225375).

Almost surely, 2^72000072072 is an apocalyptic number.

72000072072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72000072072 is an abundant number, since it is smaller than the sum of its proper divisors (128078351928).

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

72000072072 is a wasteful number, since it uses less digits than its factorization.

72000072072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130387 (or 130377 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

Adding to 72000072072 its reverse (27027000027), we get a palindrome (99027072099).

The spelling of 72000072072 in words is "seventy-two billion, seventy-two thousand, seventy-two".