72557201 has 2 divisors, whose sum is σ = 72557202. Its totient is φ = 72557200.

The previous prime is 72557183. The next prime is 72557209. The reversal of 72557201 is 10275527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40972801 + 31584400 = 6401^2 + 5620^2 .

It is an emirp because it is prime and its reverse (10275527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72557201 - 2¹⁴ = 72540817 is a prime.

It is not a weakly prime, because it can be changed into another prime (72557209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36278600 + 36278601.

It is an arithmetic number, because the mean of its divisors is an integer number (36278601).

Almost surely, 2^72557201 is an apocalyptic number.

It is an amenable number.

72557201 is a deficient number, since it is larger than the sum of its proper divisors (1).

72557201 is an equidigital number, since it uses as much as digits as its factorization.

It is an anagram of its base 13 representation: 72557201 = (12055772)₁₃.

72557201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4900, while the sum is 29.

The square root of 72557201 is about 8518.0514790649. The cubic root of 72557201 is about 417.0871791612.

The spelling of 72557201 in words is "seventy-two million, five hundred fifty-seven thousand, two hundred one".