73201745540 has 96 divisors (see below), whose sum is σ = 191760307200. Its totient is φ = 22803649920.

The previous prime is 73201745497. The next prime is 73201745543. The reversal of 73201745540 is 4554710237.

It is a junction number, because it is equal to n+sod(n) for n = 73201745494 and 73201745503.

It is not an unprimeable number, because it can be changed into a prime (73201745543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3035651 + ... + 3059669.

It is an arithmetic number, because the mean of its divisors is an integer number (1997503200).

Almost surely, 2^73201745540 is an apocalyptic number.

73201745540 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 73201745540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95880153600).

73201745540 is an abundant number, since it is smaller than the sum of its proper divisors (118558561660).

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

73201745540 is a wasteful number, since it uses less digits than its factorization.

73201745540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26025 (or 26023 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 38.

The spelling of 73201745540 in words is "seventy-three billion, two hundred one million, seven hundred forty-five thousand, five hundred forty".