71937072 has 100 divisors (see below), whose sum is σ = 212816736. Its totient is φ = 23448960.

The previous prime is 71937053. The next prime is 71937079. The reversal of 71937072 is 27073917.

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 (71937079) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60322 + ... + 61502.

Almost surely, 2^71937072 is an apocalyptic number.

71937072 is a gapful number since it is divisible by the number (72) 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 71937072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106408368).

71937072 is an abundant number, since it is smaller than the sum of its proper divisors (140879664).

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

71937072 is a wasteful number, since it uses less digits than its factorization.

71937072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 71937072 is about 8481.5724957109. The cubic root of 71937072 is about 415.8955297330.

The spelling of 71937072 in words is "seventy-one million, nine hundred thirty-seven thousand, seventy-two".