72077031 has 24 divisors (see below), whose sum is σ = 113227296. Its totient is φ = 43917120.

The previous prime is 72077029. The next prime is 72077039. The reversal of 72077031 is 13077027.

It is not a de Polignac number, because 72077031 - 2¹ = 72077029 is a prime.

It is a super-2 number, since 2×72077031² = 10390196795549922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72076986 and 72077004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72077039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9061 + ... + 15041.

It is an arithmetic number, because the mean of its divisors is an integer number (4717804).

Almost surely, 2^72077031 is an apocalyptic number.

72077031 is a deficient number, since it is larger than the sum of its proper divisors (41150265).

72077031 is a wasteful number, since it uses less digits than its factorization.

72077031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6103 (or 6100 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 72077031 is about 8489.8192560266. The cubic root of 72077031 is about 416.1650737109.

It can be divided in two parts, 720770 and 31, that added together give a square (720801 = 849²).

The spelling of 72077031 in words is "seventy-two million, seventy-seven thousand, thirty-one".