73737540 has 120 divisors (see below), whose sum is σ = 241496640. Its totient is φ = 18798912.

The previous prime is 73737539. The next prime is 73737541. The reversal of 73737540 is 4573737.

It is an interprime number because it is at equal distance from previous prime (73737539) and next prime (73737541).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73737495 and 73737504.

It is not an unprimeable number, because it can be changed into a prime (73737541) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36271 + ... + 38249.

It is an arithmetic number, because the mean of its divisors is an integer number (2012472).

Almost surely, 2^73737540 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 73737540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120748320).

73737540 is an abundant number, since it is smaller than the sum of its proper divisors (167759100).

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

73737540 is a wasteful number, since it uses less digits than its factorization.

73737540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 36.

The square root of 73737540 is about 8587.0565387681. The cubic root of 73737540 is about 419.3367081390.

The spelling of 73737540 in words is "seventy-three million, seven hundred thirty-seven thousand, five hundred forty".