72193284 has 18 divisors (see below), whose sum is σ = 182488670. Its totient is φ = 24064416.

The previous prime is 72193283. The next prime is 72193291. The reversal of 72193284 is 48239127.

It can be written as a sum of positive squares in only one way, i.e., 70560000 + 1633284 = 8400^2 + 1278^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2005369 = 72193284 / (7 + 2 + 1 + 9 + 3 + 2 + 8 + 4).

It is not an unprimeable number, because it can be changed into a prime (72193283) 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, 1002649 + ... + 1002720.

Almost surely, 2^72193284 is an apocalyptic number.

It is an amenable number.

72193284 is an abundant number, since it is smaller than the sum of its proper divisors (110295386).

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

72193284 is a wasteful number, since it uses less digits than its factorization.

72193284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005379 (or 2005374 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 72193284 is about 8496.6631097155. The cubic root of 72193284 is about 416.3886976588.

The spelling of 72193284 in words is "seventy-two million, one hundred ninety-three thousand, two hundred eighty-four".