72563136 has 56 divisors (see below), whose sum is σ = 194730624. Its totient is φ = 23842560.

The previous prime is 72563131. The next prime is 72563167. The reversal of 72563136 is 63136527.

It is a junction number, because it is equal to n+sod(n) for n = 72563097 and 72563106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72563131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10971 + ... + 16293.

Almost surely, 2^72563136 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 72563136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97365312).

72563136 is an abundant number, since it is smaller than the sum of its proper divisors (122167488).

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

72563136 is a wasteful number, since it uses less digits than its factorization.

72563136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5409 (or 5399 counting only the distinct ones).

The product of its digits is 22680, while the sum is 33.

The square root of 72563136 is about 8518.3998497370. The cubic root of 72563136 is about 417.0985510851.

The spelling of 72563136 in words is "seventy-two million, five hundred sixty-three thousand, one hundred thirty-six".