71496072 has 24 divisors (see below), whose sum is σ = 193635390. Its totient is φ = 23832000.

The previous prime is 71496059. The next prime is 71496079. The reversal of 71496072 is 27069417.

It is a happy number.

71496072 is a `hidden beast` number, since 7 + 1 + 49 + 607 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65707236 + 5788836 = 8106^2 + 2406^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×71496072² = 10223376622858368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (71496079) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 496429 + ... + 496572.

Almost surely, 2^71496072 is an apocalyptic number.

71496072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71496072 is an abundant number, since it is smaller than the sum of its proper divisors (122139318).

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

71496072 is a wasteful number, since it uses less digits than its factorization.

71496072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993013 (or 993006 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 71496072 is about 8455.5349919446. The cubic root of 71496072 is about 415.0439243197.

The spelling of 71496072 in words is "seventy-one million, four hundred ninety-six thousand, seventy-two".