72259399546880 has 1152 divisors, whose sum is σ = 222549647523840. Its totient is φ = 22025042657280.

The previous prime is 72259399546861. The next prime is 72259399546909. The reversal of 72259399546880 is 8864599395227.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119043491537 + ... + 119043492143.

It is an arithmetic number, because the mean of its divisors is an integer number (193185457920).

Almost surely, 2^{72259399546880} is an apocalyptic number.

72259399546880 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 72259399546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111274823761920).

72259399546880 is an abundant number, since it is smaller than the sum of its proper divisors (150290247976960).

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

72259399546880 is a wasteful number, since it uses less digits than its factorization.

72259399546880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 2351462400, while the sum is 77.

The spelling of 72259399546880 in words is "seventy-two trillion, two hundred fifty-nine billion, three hundred ninety-nine million, five hundred forty-six thousand, eight hundred eighty".