72369049 has 9 divisors (see below), whose sum is σ = 74352351. Its totient is φ = 70437960.

The previous prime is 72369047. The next prime is 72369053. The reversal of 72369049 is 94096327.

The square root of 72369049 is 8507.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 797449 + 71571600 = 893^2 + 8460^2 .

It is not a de Polignac number, because 72369049 - 2¹ = 72369047 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72369041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 399739 + ... + 399919.

Almost surely, 2^72369049 is an apocalyptic number.

72369049 is the 8507-th square number.

72369049 is the 4254-th centered octagonal number.

It is an amenable number.

72369049 is a deficient number, since it is larger than the sum of its proper divisors (1983302).

72369049 is an frugal number, since it uses more digits than its factorization.

72369049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The cubic root of 72369049 is about 416.7263433102.

The spelling of 72369049 in words is "seventy-two million, three hundred sixty-nine thousand, forty-nine".