72378694080 has 1344 divisors, whose sum is σ = 334408808448. Its totient is φ = 13908049920.

The previous prime is 72378694039. The next prime is 72378694103. The reversal of 72378694080 is 8049687327.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 275204029 + ... + 275204291.

Almost surely, 2^72378694080 is an apocalyptic number.

72378694080 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 72378694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167204404224).

72378694080 is an abundant number, since it is smaller than the sum of its proper divisors (262030114368).

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

72378694080 is a wasteful number, since it uses less digits than its factorization.

72378694080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 72378694080 in words is "seventy-two billion, three hundred seventy-eight million, six hundred ninety-four thousand, eighty".