72614890889856 has 1024 divisors, whose sum is σ = 259768442880000. Its totient is φ = 19507314032640.

The previous prime is 72614890889833. The next prime is 72614890889887. The reversal of 72614890889856 is 65898809841627.

72614890889856 is a `hidden beast` number, since 7 + 2 + 6 + 1 + 489 + 0 + 8 + 89 + 8 + 56 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

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, 59084532250 + ... + 59084533478.

It is an arithmetic number, because the mean of its divisors is an integer number (253680120000).

Almost surely, 2^{72614890889856} is an apocalyptic number.

72614890889856 is a gapful number since it is divisible by the number (76) 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 72614890889856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129884221440000).

72614890889856 is an abundant number, since it is smaller than the sum of its proper divisors (187153551990144).

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

72614890889856 is a wasteful number, since it uses less digits than its factorization.

72614890889856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 3344302080, while the sum is 81.

The spelling of 72614890889856 in words is "seventy-two trillion, six hundred fourteen billion, eight hundred ninety million, eight hundred eighty-nine thousand, eight hundred fifty-six".