72701000 has 32 divisors (see below), whose sum is σ = 170122680. Its totient is φ = 29080000.

The previous prime is 72700987. The next prime is 72701009. The reversal of 72701000 is 10727.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21921124 + 50779876 = 4682^2 + 7126^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72701000.

It is not an unprimeable number, because it can be changed into a prime (72701009) 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, 35351 + ... + 37350.

Almost surely, 2^72701000 is an apocalyptic number.

It is an amenable number.

72701000 is an abundant number, since it is smaller than the sum of its proper divisors (97421680).

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

72701000 is a wasteful number, since it uses less digits than its factorization.

72701000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72722 (or 72708 counting only the distinct ones).

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

The square root of 72701000 is about 8526.4881399085. The cubic root of 72701000 is about 417.3625349723.

Adding to 72701000 its reverse (10727), we get a palindrome (72711727).

The spelling of 72701000 in words is "seventy-two million, seven hundred one thousand".