72401679 has 12 divisors (see below), whose sum is σ = 119520336. Its totient is φ = 41372352.

The previous prime is 72401669. The next prime is 72401689. The reversal of 72401679 is 97610427.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72401669) and next prime (72401689).

It is not a de Polignac number, because 72401679 - 2¹³ = 72393487 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72401669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 574554 + ... + 574679.

It is an arithmetic number, because the mean of its divisors is an integer number (9960028).

Almost surely, 2^72401679 is an apocalyptic number.

72401679 is a deficient number, since it is larger than the sum of its proper divisors (47118657).

72401679 is a wasteful number, since it uses less digits than its factorization.

72401679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149246 (or 1149243 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 72401679 is about 8508.9176162424. The cubic root of 72401679 is about 416.7889655574.

The spelling of 72401679 in words is "seventy-two million, four hundred one thousand, six hundred seventy-nine".