726741221175 has 48 divisors (see below), whose sum is σ = 1335333893280. Its totient is φ = 387513054720.

The previous prime is 726741221153. The next prime is 726741221197. The reversal of 726741221175 is 571122147627.

It is a happy number.

726741221175 is a `hidden beast` number, since 7 + 2 + 67 + 412 + 2 + 1 + 175 = 666.

It is an interprime number because it is at equal distance from previous prime (726741221153) and next prime (726741221197).

It is not a de Polignac number, because 726741221175 - 2¹⁶ = 726741155639 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 726741221175.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3136927 + ... + 3360623.

It is an arithmetic number, because the mean of its divisors is an integer number (27819456110).

Almost surely, 2^726741221175 is an apocalyptic number.

726741221175 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

726741221175 is a deficient number, since it is larger than the sum of its proper divisors (608592672105).

726741221175 is a wasteful number, since it uses less digits than its factorization.

726741221175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228529 (or 228518 counting only the distinct ones).

The product of its digits is 329280, while the sum is 45.

The spelling of 726741221175 in words is "seven hundred twenty-six billion, seven hundred forty-one million, two hundred twenty-one thousand, one hundred seventy-five".