72415541952 has 504 divisors, whose sum is σ = 239236556832. Its totient is φ = 20778024960.

The previous prime is 72415541921. The next prime is 72415541983. The reversal of 72415541952 is 25914551427.

72415541952 is a `hidden beast` number, since 7 + 2 + 4 + 1 + 554 + 1 + 95 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (72415541921) and next prime (72415541983).

It is a junction number, because it is equal to n+sod(n) for n = 72415541898 and 72415541907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 640845448 + ... + 640845560.

It is an arithmetic number, because the mean of its divisors is an integer number (474675708).

Almost surely, 2^72415541952 is an apocalyptic number.

72415541952 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 72415541952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119618278416).

72415541952 is an abundant number, since it is smaller than the sum of its proper divisors (166821014880).

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

72415541952 is a wasteful number, since it uses less digits than its factorization.

72415541952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 215 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The spelling of 72415541952 in words is "seventy-two billion, four hundred fifteen million, five hundred forty-one thousand, nine hundred fifty-two".