72010500 has 96 divisors (see below), whose sum is σ = 213403008. Its totient is φ = 18864000.

The previous prime is 72010483. The next prime is 72010501. The reversal of 72010500 is 501027.

It is a happy number.

It is a super-2 number, since 2×72010500² = 10371024220500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 72010500.

It is not an unprimeable number, because it can be changed into a prime (72010501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91107 + ... + 91893.

It is an arithmetic number, because the mean of its divisors is an integer number (2222948).

Almost surely, 2^72010500 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 72010500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106701504).

72010500 is an abundant number, since it is smaller than the sum of its proper divisors (141392508).

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

72010500 is a wasteful number, since it uses less digits than its factorization.

72010500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 72010500 is about 8485.9000701163. The cubic root of 72010500 is about 416.0369866646.

Adding to 72010500 its reverse (501027), we get a palindrome (72511527).

The spelling of 72010500 in words is "seventy-two million, ten thousand, five hundred".