72001700 has 36 divisors (see below), whose sum is σ = 156612372. Its totient is φ = 28732800.

The previous prime is 72001687. The next prime is 72001703. The reversal of 72001700 is 710027.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 362404 + 71639296 = 602^2 + 8464^2 .

It is not an unprimeable number, because it can be changed into a prime (72001703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81662 + ... + 82538.

Almost surely, 2^72001700 is an apocalyptic number.

It is an amenable number.

72001700 is an abundant number, since it is smaller than the sum of its proper divisors (84610672).

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

72001700 is a wasteful number, since it uses less digits than its factorization.

72001700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 72001700 is about 8485.3815471079. The cubic root of 72001700 is about 416.0200387906.

Adding to 72001700 its reverse (710027), we get a palindrome (72711727).

The spelling of 72001700 in words is "seventy-two million, one thousand, seven hundred".