72623546583025 has 27 divisors (see below), whose sum is σ = 90470671703499. Its totient is φ = 57830736876720.

The previous prime is 72623546583023. The next prime is 72623546583041. The reversal of 72623546583025 is 52038564532627.

The square root of 72623546583025 is 8521945.

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., 26144476769889 + 46479069813136 = 5113167^2 + 6817556^2 .

It is not a de Polignac number, because 72623546583025 - 2¹ = 72623546583023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72623546583023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9501964854 + ... + 9501972496.

Almost surely, 2^{72623546583025} is an apocalyptic number.

72623546583025 is the 8521945-th square number.

72623546583025 is the 4260973-rd centered octagonal number.

It is an amenable number.

72623546583025 is a deficient number, since it is larger than the sum of its proper divisors (17847125120474).

72623546583025 is an frugal number, since it uses more digits than its factorization.

72623546583025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15742 (or 7871 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 58.

The spelling of 72623546583025 in words is "seventy-two trillion, six hundred twenty-three billion, five hundred forty-six million, five hundred eighty-three thousand, twenty-five".