71672496 has 120 divisors (see below), whose sum is σ = 222557184. Its totient is φ = 19797120.

The previous prime is 71672477. The next prime is 71672507. The reversal of 71672496 is 69427617.

It is a super-3 number, since 3×71672496³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72421 + ... + 73403.

Almost surely, 2^71672496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71672496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111278592).

71672496 is an abundant number, since it is smaller than the sum of its proper divisors (150884688).

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

71672496 is a wasteful number, since it uses less digits than its factorization.

71672496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1026 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 71672496 is about 8465.9610204631. The cubic root of 71672496 is about 415.3850319295.

The spelling of 71672496 in words is "seventy-one million, six hundred seventy-two thousand, four hundred ninety-six".