72271725 has 48 divisors (see below), whose sum is σ = 128950080. Its totient is φ = 35596800.

The previous prime is 72271711. The next prime is 72271729. The reversal of 72271725 is 52717227.

It is not a de Polignac number, because 72271725 - 2¹⁴ = 72255341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72271729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57807 + ... + 59043.

It is an arithmetic number, because the mean of its divisors is an integer number (2686460).

Almost surely, 2^72271725 is an apocalyptic number.

72271725 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72271725 is a deficient number, since it is larger than the sum of its proper divisors (56678355).

72271725 is a wasteful number, since it uses less digits than its factorization.

72271725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1305 counting only the distinct ones).

The product of its digits is 13720, while the sum is 33.

The square root of 72271725 is about 8501.2778451242. The cubic root of 72271725 is about 416.5394509405.

The spelling of 72271725 in words is "seventy-two million, two hundred seventy-one thousand, seven hundred twenty-five".