72483264 has 84 divisors (see below), whose sum is σ = 237453424. Its totient is φ = 20708352.

The previous prime is 72483253. The next prime is 72483269. The reversal of 72483264 is 46238427.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72483269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4957 + ... + 13020.

Almost surely, 2^72483264 is an apocalyptic number.

It is an amenable number.

72483264 is an abundant number, since it is smaller than the sum of its proper divisors (164970160).

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

72483264 is a wasteful number, since it uses less digits than its factorization.

72483264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18002 (or 17989 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 72483264 is about 8513.7103544812. The cubic root of 72483264 is about 416.9454580770.

The spelling of 72483264 in words is "seventy-two million, four hundred eighty-three thousand, two hundred sixty-four".