72910031040 has 1512 divisors, whose sum is σ = 335108251296. Its totient is φ = 14780620800.

The previous prime is 72910031021. The next prime is 72910031041. The reversal of 72910031040 is 4013001927.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 72910030995 and 72910031013.

It is not an unprimeable number, because it can be changed into a prime (72910031041) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1778293420 + ... + 1778293460.

Almost surely, 2^72910031040 is an apocalyptic number.

72910031040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72910031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167554125648).

72910031040 is an abundant number, since it is smaller than the sum of its proper divisors (262198220256).

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

72910031040 is an equidigital number, since it uses as much as digits as its factorization.

72910031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 72910031040 its reverse (4013001927), we get a palindrome (76923032967).

The spelling of 72910031040 in words is "seventy-two billion, nine hundred ten million, thirty-one thousand, forty".