72080100 has 81 divisors (see below), whose sum is σ = 226732233. Its totient is φ = 19153440.

The previous prime is 72080089. The next prime is 72080111. The reversal of 72080100 is 108027.

The square root of 72080100 is 8490.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (72080089) and next prime (72080111).

It can be written as a sum of positive squares in only one way, i.e., 25948836 + 46131264 = 5094^2 + 6792^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 254559 + ... + 254841.

Almost surely, 2^72080100 is an apocalyptic number.

72080100 is the 8490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72080100

72080100 is an abundant number, since it is smaller than the sum of its proper divisors (154652133).

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

72080100 is a wasteful number, since it uses less digits than its factorization.

72080100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The cubic root of 72080100 is about 416.1709803197.

Adding to 72080100 its reverse (108027), we get a palindrome (72188127).

The spelling of 72080100 in words is "seventy-two million, eighty thousand, one hundred".