73726193520 has 400 divisors, whose sum is σ = 299455833600. Its totient is φ = 16459365888.

The previous prime is 73726193507. The next prime is 73726193539. The reversal of 73726193520 is 2539162737.

73726193520 is a `hidden beast` number, since 7 + 3 + 7 + 2 + 619 + 3 + 5 + 20 = 666.

It is a super-2 number, since 2×73726193520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1931581 + ... + 1969379.

It is an arithmetic number, because the mean of its divisors is an integer number (748639584).

Almost surely, 2^73726193520 is an apocalyptic number.

73726193520 is a gapful number since it is divisible by the number (70) 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 73726193520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149727916800).

73726193520 is an abundant number, since it is smaller than the sum of its proper divisors (225729640080).

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

73726193520 is a wasteful number, since it uses less digits than its factorization.

73726193520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37874 (or 37859 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 73726193520 in words is "seventy-three billion, seven hundred twenty-six million, one hundred ninety-three thousand, five hundred twenty".