72427731 has 8 divisors (see below), whose sum is σ = 96927744. Its totient is φ = 48106440.

The previous prime is 72427727. The next prime is 72427763. The reversal of 72427731 is 13772427.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72427731 - 2² = 72427727 is a prime.

It is a super-2 number, since 2×72427731² = 10491552435616722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72427692 and 72427701.

It is not an unprimeable number, because it can be changed into a prime (72427721) 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 7 ways as a sum of consecutive naturals, for example, 43731 + ... + 45356.

It is an arithmetic number, because the mean of its divisors is an integer number (12115968).

Almost surely, 2^72427731 is an apocalyptic number.

72427731 is a deficient number, since it is larger than the sum of its proper divisors (24500013).

72427731 is a wasteful number, since it uses less digits than its factorization.

72427731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89361.

The product of its digits is 16464, while the sum is 33.

The square root of 72427731 is about 8510.4483430663. The cubic root of 72427731 is about 416.8389500522.

The spelling of 72427731 in words is "seventy-two million, four hundred twenty-seven thousand, seven hundred thirty-one".