72073671 has 16 divisors (see below), whose sum is σ = 99723360. Its totient is φ = 46247040.

The previous prime is 72073649. The next prime is 72073699. The reversal of 72073671 is 17637027.

It is a de Polignac number, because none of the positive numbers 2^k-72073671 is a prime.

It is a super-2 number, since 2×72073671² = 10389228102832482, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72073601) 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 15 ways as a sum of consecutive naturals, for example, 31341 + ... + 33561.

It is an arithmetic number, because the mean of its divisors is an integer number (6232710).

Almost surely, 2^72073671 is an apocalyptic number.

72073671 is a deficient number, since it is larger than the sum of its proper divisors (27649689).

72073671 is a wasteful number, since it uses less digits than its factorization.

72073671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626.

The product of its (nonzero) digits is 12348, while the sum is 33.

The square root of 72073671 is about 8489.6213696489. The cubic root of 72073671 is about 416.1586068501.

It can be divided in two parts, 7207 and 3671, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 72073671 in words is "seventy-two million, seventy-three thousand, six hundred seventy-one".