72854100378 has 80 divisors (see below), whose sum is σ = 164909781960. Its totient is φ = 24037824384.

The previous prime is 72854100377. The next prime is 72854100383. The reversal of 72854100378 is 87300145827.

72854100378 is a `hidden beast` number, since 72 + 8 + 541 + 0 + 0 + 37 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72380907369 + 473193009 = 269037^2 + 21753^2 .

It is not an unprimeable number, because it can be changed into a prime (72854100377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29893776 + ... + 29896212.

Almost surely, 2^72854100378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72854100378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82454890980).

72854100378 is an abundant number, since it is smaller than the sum of its proper divisors (92055681582).

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

72854100378 is a wasteful number, since it uses less digits than its factorization.

72854100378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253 (or 4244 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 72854100378 in words is "seventy-two billion, eight hundred fifty-four million, one hundred thousand, three hundred seventy-eight".