72136848 has 160 divisors (see below), whose sum is σ = 229913856. Its totient is φ = 19021824.

The previous prime is 72136829. The next prime is 72136849. The reversal of 72136848 is 84863127.

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 (72136849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416890 + ... + 417062.

Almost surely, 2^72136848 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 72136848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114956928).

72136848 is an abundant number, since it is smaller than the sum of its proper divisors (157777008).

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

72136848 is a wasteful number, since it uses less digits than its factorization.

72136848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 72136848 is about 8493.3413919376. The cubic root of 72136848 is about 416.2801675328.

The spelling of 72136848 in words is "seventy-two million, one hundred thirty-six thousand, eight hundred forty-eight".