72356031 has 16 divisors (see below), whose sum is σ = 116939520. Its totient is φ = 43851960.

The previous prime is 72355991. The next prime is 72356051. The reversal of 72356031 is 13065327.

It is a happy number.

72356031 is a `hidden beast` number, since 72 + 3 + 560 + 31 = 666.

It is not a de Polignac number, because 72356031 - 2⁶ = 72355967 is a prime.

It is a super-3 number, since 3×72356031³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 72355986 and 72356004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72356051) 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 15 ways as a sum of consecutive naturals, for example, 121515 + ... + 122108.

It is an arithmetic number, because the mean of its divisors is an integer number (7308720).

Almost surely, 2^72356031 is an apocalyptic number.

72356031 is a deficient number, since it is larger than the sum of its proper divisors (44583489).

72356031 is a wasteful number, since it uses less digits than its factorization.

72356031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243643 (or 243637 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 72356031 is about 8506.2348309931. The cubic root of 72356031 is about 416.7013544099.

The spelling of 72356031 in words is "seventy-two million, three hundred fifty-six thousand, thirty-one".