72703008 has 120 divisors (see below), whose sum is σ = 244423872. Its totient is φ = 20767104.

The previous prime is 72703003. The next prime is 72703013. The reversal of 72703008 is 80030727.

It is an interprime number because it is at equal distance from previous prime (72703003) and next prime (72703013).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72703003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16141 + ... + 20147.

Almost surely, 2^72703008 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 72703008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122211936).

72703008 is an abundant number, since it is smaller than the sum of its proper divisors (171720864).

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

72703008 is a wasteful number, since it uses less digits than its factorization.

72703008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72703008 is about 8526.6058898016. The cubic root of 72703008 is about 417.3663774516.

The spelling of 72703008 in words is "seventy-two million, seven hundred three thousand, eight".