72610000 has 100 divisors (see below), whose sum is σ = 180420372. Its totient is φ = 28288000.

The previous prime is 72609949. The next prime is 72610007. The reversal of 72610000 is 1627.

It can be written as a sum of positive squares in 10 ways, for example, as 45319824 + 27290176 = 6732^2 + 5224^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72610007) 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, 529932 + ... + 530068.

Almost surely, 2^72610000 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 72610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90210186).

72610000 is an abundant number, since it is smaller than the sum of its proper divisors (107810372).

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

72610000 is a wasteful number, since it uses less digits than its factorization.

72610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 72610000 is about 8521.1501571091. The cubic root of 72610000 is about 417.1883244009.

Adding to 72610000 its reverse (1627), we get a palindrome (72611627).

The spelling of 72610000 in words is "seventy-two million, six hundred ten thousand".