73256400 has 600 divisors, whose sum is σ = 334889280. Its totient is φ = 14929920.

The previous prime is 73256371. The next prime is 73256401. The reversal of 73256400 is 465237.

It is a happy number.

73256400 is a `hidden beast` number, since 7 + 3 + 256 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73256401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3855591 + ... + 3855609.

Almost surely, 2^73256400 is an apocalyptic number.

73256400 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 73256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167444640).

73256400 is an abundant number, since it is smaller than the sum of its proper divisors (261632880).

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

73256400 is a wasteful number, since it uses less digits than its factorization.

73256400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 73256400 is about 8558.9952681375. The cubic root of 73256400 is about 418.4226549938.

73256400 divided by its product of nonzero digits (5040) gives a triangular number (14535 = T₁₇₀).

The spelling of 73256400 in words is "seventy-three million, two hundred fifty-six thousand, four hundred".