72876401595648 has 1440 divisors, whose sum is σ = 257487581675520. Its totient is φ = 20325100400640.

The previous prime is 72876401595551. The next prime is 72876401595659. The reversal of 72876401595648 is 84659510467827.

72876401595648 is a `hidden beast` number, since 7 + 2 + 8 + 7 + 6 + 4 + 0 + 1 + 59 + 564 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 149643534861 + ... + 149643535347.

It is an arithmetic number, because the mean of its divisors is an integer number (178810820608).

Almost surely, 2^{72876401595648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72876401595648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128743790837760).

72876401595648 is an abundant number, since it is smaller than the sum of its proper divisors (184611180079872).

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

72876401595648 is an equidigital number, since it uses as much as digits as its factorization.

72876401595648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 72876401595648 in words is "seventy-two trillion, eight hundred seventy-six billion, four hundred one million, five hundred ninety-five thousand, six hundred forty-eight".