72535008 has 288 divisors, whose sum is σ = 258080256. Its totient is φ = 17335296.

The previous prime is 72535007. The next prime is 72535019. The reversal of 72535008 is 80053527.

It is a happy number.

It is a super-2 number, since 2×72535008² = 10522654771120128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72535007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3153685 + ... + 3153707.

It is an arithmetic number, because the mean of its divisors is an integer number (896112).

Almost surely, 2^72535008 is an apocalyptic number.

72535008 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72535008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129040128).

72535008 is an abundant number, since it is smaller than the sum of its proper divisors (185545248).

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

72535008 is a wasteful number, since it uses less digits than its factorization.

72535008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 72535008 is about 8516.7486754042. The cubic root of 72535008 is about 417.0446501425.

The spelling of 72535008 in words is "seventy-two million, five hundred thirty-five thousand, eight".