72635340 has 48 divisors (see below), whose sum is σ = 204196608. Its totient is φ = 19291584.

The previous prime is 72635333. The next prime is 72635341. The reversal of 72635340 is 4353627.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 72635298 and 72635307.

It is not an unprimeable number, because it can be changed into a prime (72635341) 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, 13479 + ... + 18081.

It is an arithmetic number, because the mean of its divisors is an integer number (4254096).

Almost surely, 2^72635340 is an apocalyptic number.

It is an amenable number.

72635340 is an abundant number, since it is smaller than the sum of its proper divisors (131561268).

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

72635340 is a wasteful number, since it uses less digits than its factorization.

72635340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4878 (or 4876 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 72635340 is about 8522.6369158847. The cubic root of 72635340 is about 417.2368499603.

Adding to 72635340 its reverse (4353627), we get a palindrome (76988967).

The spelling of 72635340 in words is "seventy-two million, six hundred thirty-five thousand, three hundred forty".