73673600 has 384 divisors, whose sum is σ = 254983680. Its totient is φ = 20275200.

The previous prime is 73673591. The next prime is 73673603. The reversal of 73673600 is 637637.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73673603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3203189 + ... + 3203211.

It is an arithmetic number, because the mean of its divisors is an integer number (664020).

Almost surely, 2^73673600 is an apocalyptic number.

73673600 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 73673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127491840).

73673600 is an abundant number, since it is smaller than the sum of its proper divisors (181310080).

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

73673600 is a wasteful number, since it uses less digits than its factorization.

73673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 32.

The square root of 73673600 is about 8583.3326860841. The cubic root of 73673600 is about 419.2154666710.

It can be divided in two parts, 736 and 73600, that multiplied together give a square (54169600 = 7360²).

The spelling of 73673600 in words is "seventy-three million, six hundred seventy-three thousand, six hundred".