72836547840 has 1080 divisors, whose sum is σ = 309580397280. Its totient is φ = 16366178304.

The previous prime is 72836547761. The next prime is 72836547853. The reversal of 72836547840 is 4874563827.

72836547840 is a `hidden beast` number, since 7 + 28 + 36 + 547 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1234517731 + ... + 1234517789.

It is an arithmetic number, because the mean of its divisors is an integer number (286648516).

Almost surely, 2^72836547840 is an apocalyptic number.

72836547840 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 72836547840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154790198640).

72836547840 is an abundant number, since it is smaller than the sum of its proper divisors (236743849440).

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

72836547840 is an frugal number, since it uses more digits than its factorization.

72836547840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 72836547840 in words is "seventy-two billion, eight hundred thirty-six million, five hundred forty-seven thousand, eight hundred forty".