72671629 has 2 divisors, whose sum is σ = 72671630. Its totient is φ = 72671628.

The previous prime is 72671623. The next prime is 72671653. The reversal of 72671629 is 92617627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72216004 + 455625 = 8498^2 + 675^2 .

It is a cyclic number.

It is not a de Polignac number, because 72671629 - 2⁵ = 72671597 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72671591 and 72671600.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72671623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36335814 + 36335815.

It is an arithmetic number, because the mean of its divisors is an integer number (36335815).

Almost surely, 2^72671629 is an apocalyptic number.

It is an amenable number.

72671629 is a deficient number, since it is larger than the sum of its proper divisors (1).

72671629 is an equidigital number, since it uses as much as digits as its factorization.

72671629 is an evil number, because the sum of its binary digits is even.

The product of its digits is 63504, while the sum is 40.

The square root of 72671629 is about 8524.7656272768. The cubic root of 72671629 is about 417.3063229708.

The spelling of 72671629 in words is "seventy-two million, six hundred seventy-one thousand, six hundred twenty-nine".