72458017632 has 864 divisors, whose sum is σ = 283475110464. Its totient is φ = 17079828480.

The previous prime is 72458017631. The next prime is 72458017651. The reversal of 72458017632 is 23671085427.

72458017632 is a `hidden beast` number, since 7 + 2 + 4 + 5 + 8 + 0 + 1 + 7 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72458017631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 231495108 + ... + 231495420.

Almost surely, 2^72458017632 is an apocalyptic number.

72458017632 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 72458017632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141737555232).

72458017632 is an abundant number, since it is smaller than the sum of its proper divisors (211017092832).

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

72458017632 is a wasteful number, since it uses less digits than its factorization.

72458017632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 72458017632 in words is "seventy-two billion, four hundred fifty-eight million, seventeen thousand, six hundred thirty-two".