72382262472 has 256 divisors, whose sum is σ = 222717600000. Its totient is φ = 21643573248.

The previous prime is 72382262461. The next prime is 72382262473. The reversal of 72382262472 is 27426228327.

72382262472 is a `hidden beast` number, since 7 + 2 + 382 + 26 + 247 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (72382262473) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14742354 + ... + 14747262.

It is an arithmetic number, because the mean of its divisors is an integer number (869990625).

Almost surely, 2^72382262472 is an apocalyptic number.

72382262472 is a gapful number since it is divisible by the number (72) 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 72382262472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111358800000).

72382262472 is an abundant number, since it is smaller than the sum of its proper divisors (150335337528).

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

72382262472 is a wasteful number, since it uses less digits than its factorization.

72382262472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5085 (or 5075 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The spelling of 72382262472 in words is "seventy-two billion, three hundred eighty-two million, two hundred sixty-two thousand, four hundred seventy-two".