72635080 has 32 divisors (see below), whose sum is σ = 186776640. Its totient is φ = 24903360.

The previous prime is 72635051. The next prime is 72635083. The reversal of 72635080 is 8053627.

It is not an unprimeable number, because it can be changed into a prime (72635083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129426 + ... + 129985.

It is an arithmetic number, because the mean of its divisors is an integer number (5836770).

Almost surely, 2^72635080 is an apocalyptic number.

72635080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72635080 is an abundant number, since it is smaller than the sum of its proper divisors (114141560).

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

72635080 is a wasteful number, since it uses less digits than its factorization.

72635080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259429 (or 259425 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 72635080 is about 8522.6216623760. The cubic root of 72635080 is about 417.2363521231.

The spelling of 72635080 in words is "seventy-two million, six hundred thirty-five thousand, eighty".