73536540 has 144 divisors (see below), whose sum is σ = 258832896. Its totient is φ = 15269760.

The previous prime is 73536527. The next prime is 73536553. The reversal of 73536540 is 4563537.

It is an interprime number because it is at equal distance from previous prime (73536527) and next prime (73536553).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50097 + ... + 51543.

Almost surely, 2^73536540 is an apocalyptic number.

73536540 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 73536540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129416448).

73536540 is an abundant number, since it is smaller than the sum of its proper divisors (185296356).

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

73536540 is a wasteful number, since it uses less digits than its factorization.

73536540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 73536540 is about 8575.3448910233. The cubic root of 73536540 is about 418.9553402958.

The spelling of 73536540 in words is "seventy-three million, five hundred thirty-six thousand, five hundred forty".