72454690752 has 112 divisors (see below), whose sum is σ = 194611630080. Its totient is φ = 23787896832.

The previous prime is 72454690751. The next prime is 72454690753. The reversal of 72454690752 is 25709645427.

It is an interprime number because it is at equal distance from previous prime (72454690751) and next prime (72454690753).

It is a junction number, because it is equal to n+sod(n) for n = 72454690695 and 72454690704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72454690751) 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, 3378688 + ... + 3400064.

It is an arithmetic number, because the mean of its divisors is an integer number (1737603840).

Almost surely, 2^72454690752 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 72454690752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97305815040).

72454690752 is an abundant number, since it is smaller than the sum of its proper divisors (122156939328).

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

72454690752 is a wasteful number, since it uses less digits than its factorization.

72454690752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21658 (or 21648 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 72454690752 in words is "seventy-two billion, four hundred fifty-four million, six hundred ninety thousand, seven hundred fifty-two".