73962173952 has 160 divisors (see below), whose sum is σ = 221105000160. Its totient is φ = 24409497600.

The previous prime is 73962173933. The next prime is 73962173953. The reversal of 73962173952 is 25937126937.

73962173952 is a `hidden beast` number, since 7 + 3 + 9 + 621 + 7 + 3 + 9 + 5 + 2 = 666.

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 (73962173953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1369738 + ... + 1422710.

It is an arithmetic number, because the mean of its divisors is an integer number (1381906251).

Almost surely, 2^73962173952 is an apocalyptic number.

73962173952 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 73962173952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110552500080).

73962173952 is an abundant number, since it is smaller than the sum of its proper divisors (147142826208).

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

73962173952 is a wasteful number, since it uses less digits than its factorization.

73962173952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53101 (or 53079 counting only the distinct ones).

The product of its digits is 4286520, while the sum is 54.

The spelling of 73962173952 in words is "seventy-three billion, nine hundred sixty-two million, one hundred seventy-three thousand, nine hundred fifty-two".