73386317952 has 256 divisors, whose sum is σ = 227238048000. Its totient is φ = 23283671040.

The previous prime is 73386317929. The next prime is 73386317959. The reversal of 73386317952 is 25971368337.

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 (73386317959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7110748 + ... + 7121060.

It is an arithmetic number, because the mean of its divisors is an integer number (887648625).

Almost surely, 2^73386317952 is an apocalyptic number.

73386317952 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 73386317952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113619024000).

73386317952 is an abundant number, since it is smaller than the sum of its proper divisors (153851730048).

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

73386317952 is a wasteful number, since it uses less digits than its factorization.

73386317952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10436 (or 10418 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 73386317952 in words is "seventy-three billion, three hundred eighty-six million, three hundred seventeen thousand, nine hundred fifty-two".