72671751 has 24 divisors (see below), whose sum is σ = 112161920. Its totient is φ = 45205776.

The previous prime is 72671749. The next prime is 72671759. The reversal of 72671751 is 15717627.

It is not a de Polignac number, because 72671751 - 2¹ = 72671749 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72671759) 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 23 ways as a sum of consecutive naturals, for example, 8286 + ... + 14628.

Almost surely, 2^72671751 is an apocalyptic number.

72671751 is a deficient number, since it is larger than the sum of its proper divisors (39490169).

72671751 is a wasteful number, since it uses less digits than its factorization.

72671751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6435 (or 6432 counting only the distinct ones).

The product of its digits is 20580, while the sum is 36.

The square root of 72671751 is about 8524.7727828957. The cubic root of 72671751 is about 417.3065564931.

The spelling of 72671751 in words is "seventy-two million, six hundred seventy-one thousand, seven hundred fifty-one".