73742400 has 210 divisors, whose sum is σ = 271534890. Its totient is φ = 19630080.

The previous prime is 73742399. The next prime is 73742441. The reversal of 73742400 is 424737.

It can be written as a sum of positive squares in 3 ways, for example, as 331776 + 73410624 = 576^2 + 8568^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 129316 + ... + 129884.

Almost surely, 2^73742400 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 73742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135767445).

73742400 is an abundant number, since it is smaller than the sum of its proper divisors (197792490).

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

73742400 is a wasteful number, since it uses less digits than its factorization.

73742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 73742400 is about 8587.3395181511. The cubic root of 73742400 is about 419.3459206858.

The spelling of 73742400 in words is "seventy-three million, seven hundred forty-two thousand, four hundred".