73563264 has 48 divisors (see below), whose sum is σ = 211689270. Its totient is φ = 24520704.

The previous prime is 73563263. The next prime is 73563283. The reversal of 73563264 is 46236537.

73563264 is a `hidden beast` number, since 73 + 563 + 26 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57881664 + 15681600 = 7608^2 + 3960^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (73563263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30777 + ... + 33080.

Almost surely, 2^73563264 is an apocalyptic number.

It is an amenable number.

73563264 is an abundant number, since it is smaller than the sum of its proper divisors (138126006).

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

73563264 is a wasteful number, since it uses less digits than its factorization.

73563264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63877 (or 63862 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 73563264 is about 8576.9029375410. The cubic root of 73563264 is about 419.0060851659.

The spelling of 73563264 in words is "seventy-three million, five hundred sixty-three thousand, two hundred sixty-four".