72671653 has 2 divisors, whose sum is σ = 72671654. Its totient is φ = 72671652.

The previous prime is 72671629. The next prime is 72671659. The reversal of 72671653 is 35617627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45454564 + 27217089 = 6742^2 + 5217^2 .

It is an emirp because it is prime and its reverse (35617627) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72671653 - 2²¹ = 70574501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72671659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36335826 + 36335827.

It is an arithmetic number, because the mean of its divisors is an integer number (36335827).

Almost surely, 2^72671653 is an apocalyptic number.

It is an amenable number.

72671653 is a deficient number, since it is larger than the sum of its proper divisors (1).

72671653 is an equidigital number, since it uses as much as digits as its factorization.

72671653 is an evil number, because the sum of its binary digits is even.

The product of its digits is 52920, while the sum is 37.

The square root of 72671653 is about 8524.7670349400. The cubic root of 72671653 is about 417.3063689097.

It can be divided in two parts, 7267 and 1653, that multiplied together give a triangular number (12012351 = T₄₉₀₁).

The spelling of 72671653 in words is "seventy-two million, six hundred seventy-one thousand, six hundred fifty-three".