72310104 has 64 divisors (see below), whose sum is σ = 207360000. Its totient is φ = 23323680.

The previous prime is 72310087. The next prime is 72310109. The reversal of 72310104 is 40101327.

It is a super-2 number, since 2×72310104² = 10457502280981632, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72310109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1297 + ... + 12095.

It is an arithmetic number, because the mean of its divisors is an integer number (3240000).

Almost surely, 2^72310104 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 72310104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680000).

72310104 is an abundant number, since it is smaller than the sum of its proper divisors (135049896).

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

72310104 is a wasteful number, since it uses less digits than its factorization.

72310104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10845 (or 10835 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 72310104 is about 8503.5347944252. The cubic root of 72310104 is about 416.6131705897.

The spelling of 72310104 in words is "seventy-two million, three hundred ten thousand, one hundred four".