72034731 has 32 divisors (see below), whose sum is σ = 111513600. Its totient is φ = 45904320.

The previous prime is 72034727. The next prime is 72034747. The reversal of 72034731 is 13743027.

It is not a de Polignac number, because 72034731 - 2² = 72034727 is a prime.

It is a super-2 number, since 2×72034731² = 10378004940484722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 72034695 and 72034704.

It is not an unprimeable number, because it can be changed into a prime (72034751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74010 + ... + 74976.

It is an arithmetic number, because the mean of its divisors is an integer number (3484800).

Almost surely, 2^72034731 is an apocalyptic number.

72034731 is a deficient number, since it is larger than the sum of its proper divisors (39478869).

72034731 is a wasteful number, since it uses less digits than its factorization.

72034731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 72034731 is about 8487.3276712991. The cubic root of 72034731 is about 416.0836458865.

Adding to 72034731 its reverse (13743027), we get a palindrome (85777758).

The spelling of 72034731 in words is "seventy-two million, thirty-four thousand, seven hundred thirty-one".