72378496 has 64 divisors (see below), whose sum is σ = 150698880. Its totient is φ = 34597888.

The previous prime is 72378491. The next prime is 72378499. The reversal of 72378496 is 69487327.

72378496 is a nontrivial binomial coefficient, being equal to C(12032, 2).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (72378491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318735 + ... + 318961.

It is an arithmetic number, because the mean of its divisors is an integer number (2354670).

Almost surely, 2^72378496 is an apocalyptic number.

72378496 is the 12031-st triangular number and also the 6016-th hexagonal number.

72378496 is the 4011-st centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72378496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75349440).

72378496 is an abundant number, since it is smaller than the sum of its proper divisors (78320384).

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

72378496 is a wasteful number, since it uses less digits than its factorization.

72378496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 329 counting only the distinct ones).

The product of its digits is 508032, while the sum is 46.

The square root of 72378496 is about 8507.5552304995. Note that the first 3 decimals coincide. The cubic root of 72378496 is about 416.7444755667.

The spelling of 72378496 in words is "seventy-two million, three hundred seventy-eight thousand, four hundred ninety-six".