72481039488 has 1280 divisors, whose sum is σ = 278672486400. Its totient is φ = 18363801600.

The previous prime is 72481039483. The next prime is 72481039511. The reversal of 72481039488 is 88493018427.

It is a happy number.

72481039488 is a `hidden beast` number, since 7 + 248 + 1 + 0 + 394 + 8 + 8 = 666.

It is a super-2 number, since 2×72481039488² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (72481039483) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 873265495 + ... + 873265577.

It is an arithmetic number, because the mean of its divisors is an integer number (217712880).

Almost surely, 2^72481039488 is an apocalyptic number.

72481039488 is a gapful number since it is divisible by the number (78) 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 72481039488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139336243200).

72481039488 is an abundant number, since it is smaller than the sum of its proper divisors (206191446912).

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

72481039488 is a wasteful number, since it uses less digits than its factorization.

72481039488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 72481039488 in words is "seventy-two billion, four hundred eighty-one million, thirty-nine thousand, four hundred eighty-eight".