72743841 has 9 divisors (see below), whose sum is σ = 105111409. Its totient is φ = 48478836.

The previous prime is 72743821. The next prime is 72743851. The reversal of 72743841 is 14834727.

It is a happy number.

The square root of 72743841 is 8529.

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

72743841 is a `hidden beast` number, since 7 + 274 + 384 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 72743841 - 2²¹ = 70646689 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72743796 and 72743805.

It is not an unprimeable number, because it can be changed into a prime (72743821) 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, 24166 + ... + 27008.

Almost surely, 2^72743841 is an apocalyptic number.

72743841 is the 8529-th square number.

72743841 is the 4265-th centered octagonal number.

It is an amenable number.

72743841 is a deficient number, since it is larger than the sum of its proper divisors (32367568).

72743841 is an frugal number, since it uses more digits than its factorization.

72743841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692 (or 2846 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The cubic root of 72743841 is about 417.4444995367. Note that the first 4 decimals are identical.

Multiplying 72743841 by its sum of digits (36), we get a square (2618778276 = 51174²).

The spelling of 72743841 in words is "seventy-two million, seven hundred forty-three thousand, eight hundred forty-one".