72671508 has 108 divisors (see below), whose sum is σ = 230199060. Its totient is φ = 19160064.

The previous prime is 72671503. The next prime is 72671519. The reversal of 72671508 is 80517627.

It can be written as a sum of positive squares in 2 ways, for example, as 35070084 + 37601424 = 5922^2 + 6132^2 .

It is a super-2 number, since 2×72671508² = 10562296149988128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72671503) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21348 + ... + 24516.

Almost surely, 2^72671508 is an apocalyptic number.

72671508 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72671508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115099530).

72671508 is an abundant number, since it is smaller than the sum of its proper divisors (157527552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72671508 is a wasteful number, since it uses less digits than its factorization.

72671508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 72671508 is about 8524.7585303045. The cubic root of 72671508 is about 417.3060913624.

The spelling of 72671508 in words is "seventy-two million, six hundred seventy-one thousand, five hundred eight".