72603636 has 48 divisors (see below), whose sum is σ = 203804160. Its totient is φ = 19651680.

The previous prime is 72603631. The next prime is 72603647. The reversal of 72603636 is 63630627.

It is a junction number, because it is equal to n+sod(n) for n = 72603597 and 72603606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72603631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21150 + ... + 24341.

It is an arithmetic number, because the mean of its divisors is an integer number (4245920).

Almost surely, 2^72603636 is an apocalyptic number.

72603636 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

72603636 is an abundant number, since it is smaller than the sum of its proper divisors (131200524).

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

72603636 is a wasteful number, since it uses less digits than its factorization.

72603636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45524 (or 45522 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 72603636 is about 8520.7767251583. The cubic root of 72603636 is about 417.1761357030.

The spelling of 72603636 in words is "seventy-two million, six hundred three thousand, six hundred thirty-six".