72626136 has 96 divisors (see below), whose sum is σ = 202532400. Its totient is φ = 21683200.

The previous prime is 72626123. The next prime is 72626137. The reversal of 72626136 is 63162627.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 72626097 and 72626106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72626137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258316 + ... + 258596.

Almost surely, 2^72626136 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 72626136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101266200).

72626136 is an abundant number, since it is smaller than the sum of its proper divisors (129906264).

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

72626136 is a wasteful number, since it uses less digits than its factorization.

72626136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 386 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 72626136 is about 8522.0969250531. The cubic root of 72626136 is about 417.2192258020.

It can be divided in two parts, 726 and 26136, that multiplied together give a 4-th power (18974736 = 66⁴).

The spelling of 72626136 in words is "seventy-two million, six hundred twenty-six thousand, one hundred thirty-six".