72803731 has 32 divisors (see below), whose sum is σ = 98477568. Its totient is φ = 51978240.

The previous prime is 72803719. The next prime is 72803737. The reversal of 72803731 is 13730827.

It is a cyclic number.

It is not a de Polignac number, because 72803731 - 2¹¹ = 72801683 is a prime.

It is a super-2 number, since 2×72803731² = 10600766495040722, which contains 22 as substring.

72803731 is a modest number, since divided by 3731 gives 728 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 72803693 and 72803702.

It is not an unprimeable number, because it can be changed into a prime (72803737) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257116 + ... + 257398.

It is an arithmetic number, because the mean of its divisors is an integer number (3077424).

Almost surely, 2^72803731 is an apocalyptic number.

72803731 is a deficient number, since it is larger than the sum of its proper divisors (25673837).

72803731 is a wasteful number, since it uses less digits than its factorization.

72803731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571.

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 72803731 is about 8532.5102402517. The cubic root of 72803731 is about 417.5590287891.

It can be divided in two parts, 7280 and 3731, that added together give a palindrome (11011).

The spelling of 72803731 in words is "seventy-two million, eight hundred three thousand, seven hundred thirty-one".