73147732992 has 220 divisors, whose sum is σ = 219021688116. Its totient is φ = 24316968960.

The previous prime is 73147732969. The next prime is 73147732993. The reversal of 73147732992 is 29923774137.

It can be written as a sum of positive squares in 2 ways, for example, as 45052609536 + 28095123456 = 212256^2 + 167616^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73147732993) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38236228 + ... + 38238140.

Almost surely, 2^73147732992 is an apocalyptic number.

73147732992 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 73147732992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109510844058).

73147732992 is an abundant number, since it is smaller than the sum of its proper divisors (145873955124).

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

73147732992 is a wasteful number, since it uses less digits than its factorization.

73147732992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2379 counting only the distinct ones).

The product of its digits is 4000752, while the sum is 54.

The spelling of 73147732992 in words is "seventy-three billion, one hundred forty-seven million, seven hundred thirty-two thousand, nine hundred ninety-two".