72800264 has 8 divisors (see below), whose sum is σ = 136500510. Its totient is φ = 36400128.

The previous prime is 72800263. The next prime is 72800269. The reversal of 72800264 is 46200827.

It can be written as a sum of positive squares in only one way, i.e., 40424164 + 32376100 = 6358^2 + 5690^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (72800261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4550009 + ... + 4550024.

Almost surely, 2^72800264 is an apocalyptic number.

It is an amenable number.

72800264 is a deficient number, since it is larger than the sum of its proper divisors (63700246).

72800264 is a wasteful number, since it uses less digits than its factorization.

72800264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9100039 (or 9100035 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 72800264 is about 8532.3070737052. The cubic root of 72800264 is about 417.5524004651.

The spelling of 72800264 in words is "seventy-two million, eight hundred thousand, two hundred sixty-four".