72361007 has 2 divisors, whose sum is σ = 72361008. Its totient is φ = 72361006.

The previous prime is 72360983. The next prime is 72361043. The reversal of 72361007 is 70016327.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72361007 - 2⁸ = 72360751 is a prime.

It is a super-2 number, since 2×72361007² = 10472230668108098, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72361057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36180503 + 36180504.

It is an arithmetic number, because the mean of its divisors is an integer number (36180504).

Almost surely, 2^72361007 is an apocalyptic number.

72361007 is a deficient number, since it is larger than the sum of its proper divisors (1).

72361007 is an equidigital number, since it uses as much as digits as its factorization.

72361007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 72361007 is about 8506.5273173017. The cubic root of 72361007 is about 416.7109065204.

The spelling of 72361007 in words is "seventy-two million, three hundred sixty-one thousand, seven".