73745440 has 48 divisors (see below), whose sum is σ = 178946712. Its totient is φ = 28698624.

The previous prime is 73745437. The next prime is 73745443. The reversal of 73745440 is 4454737.

It is an interprime number because it is at equal distance from previous prime (73745437) and next prime (73745443).

It can be written as a sum of positive squares in 4 ways, for example, as 73479184 + 266256 = 8572^2 + 516^2 .

It is a junction number, because it is equal to n+sod(n) for n = 73745396 and 73745405.

It is not an unprimeable number, because it can be changed into a prime (73745443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 309 + ... + 12148.

Almost surely, 2^73745440 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 73745440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89473356).

73745440 is an abundant number, since it is smaller than the sum of its proper divisors (105201272).

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

73745440 is a wasteful number, since it uses less digits than its factorization.

73745440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12509 (or 12501 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 34.

The square root of 73745440 is about 8587.5165210904. The cubic root of 73745440 is about 419.3516830608.

The spelling of 73745440 in words is "seventy-three million, seven hundred forty-five thousand, four hundred forty".