72386496 has 168 divisors, whose sum is σ = 255548384. Its totient is φ = 19077120.

The previous prime is 72386491. The next prime is 72386513. The reversal of 72386496 is 69468327.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72386491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51726 + ... + 53106.

Almost surely, 2^72386496 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 72386496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127774192).

72386496 is an abundant number, since it is smaller than the sum of its proper divisors (183161888).

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

72386496 is a wasteful number, since it uses less digits than its factorization.

72386496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1406 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 72386496 is about 8508.0253878324. The cubic root of 72386496 is about 416.7598292660.

The spelling of 72386496 in words is "seventy-two million, three hundred eighty-six thousand, four hundred ninety-six".