72072000812280 has 512 divisors, whose sum is σ = 259224675840000. Its totient is φ = 15681720434688.

The previous prime is 72072000812209. The next prime is 72072000812311. The reversal of 72072000812280 is 8221800027027.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6026584941 + ... + 6026596899.

It is an arithmetic number, because the mean of its divisors is an integer number (506298195000).

Almost surely, 2^{72072000812280} is an apocalyptic number.

72072000812280 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 72072000812280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129612337920000).

72072000812280 is an abundant number, since it is smaller than the sum of its proper divisors (187152675027720).

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

72072000812280 is a wasteful number, since it uses less digits than its factorization.

72072000812280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15471 (or 15467 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The spelling of 72072000812280 in words is "seventy-two trillion, seventy-two billion, eight hundred twelve thousand, two hundred eighty".