72499896 has 192 divisors, whose sum is σ = 241862400. Its totient is φ = 19160064.

The previous prime is 72499891. The next prime is 72499907. The reversal of 72499896 is 69899427.

72499896 is a `hidden beast` number, since 72 + 499 + 89 + 6 = 666.

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 (72499891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 641536 + ... + 641648.

It is an arithmetic number, because the mean of its divisors is an integer number (1259700).

Almost surely, 2^72499896 is an apocalyptic number.

72499896 is a gapful number since it is divisible by the number (76) 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 72499896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120931200).

72499896 is an abundant number, since it is smaller than the sum of its proper divisors (169362504).

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

72499896 is a wasteful number, since it uses less digits than its factorization.

72499896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 211 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 72499896 is about 8514.6870758707. The cubic root of 72499896 is about 416.9773463877.

The spelling of 72499896 in words is "seventy-two million, four hundred ninety-nine thousand, eight hundred ninety-six".