72825661440 has 1152 divisors, whose sum is σ = 309945242880. Its totient is φ = 16052649984.

The previous prime is 72825661409. The next prime is 72825661487. The reversal of 72825661440 is 4416652827.

72825661440 is a `hidden beast` number, since 7 + 2 + 8 + 25 + 6 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 644474824 + ... + 644474936.

It is an arithmetic number, because the mean of its divisors is an integer number (269049690).

Almost surely, 2^72825661440 is an apocalyptic number.

72825661440 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 72825661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154972621440).

72825661440 is an abundant number, since it is smaller than the sum of its proper divisors (237119581440).

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

72825661440 is a wasteful number, since it uses less digits than its factorization.

72825661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 72825661440 in words is "seventy-two billion, eight hundred twenty-five million, six hundred sixty-one thousand, four hundred forty".