73536915360 has 192 divisors, whose sum is σ = 240588472320. Its totient is φ = 18860221440.

The previous prime is 73536915359. The next prime is 73536915379. The reversal of 73536915360 is 6351963537.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2410281 + ... + 2440599.

It is an arithmetic number, because the mean of its divisors is an integer number (1253064960).

Almost surely, 2^73536915360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73536915360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294236160).

73536915360 is an abundant number, since it is smaller than the sum of its proper divisors (167051556960).

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

73536915360 is a wasteful number, since it uses less digits than its factorization.

73536915360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30531 (or 30523 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 48.

The spelling of 73536915360 in words is "seventy-three billion, five hundred thirty-six million, nine hundred fifteen thousand, three hundred sixty".