71526672 has 240 divisors, whose sum is σ = 248793600. Its totient is φ = 19595520.

The previous prime is 71526671. The next prime is 71526691. The reversal of 71526672 is 27662517.

71526672 is a `hidden beast` number, since 71 + 526 + 67 + 2 = 666.

It is a super-3 number, since 3×71526672³ (a number of 25 digits) contains 333 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 (71526671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 656154 + ... + 656262.

It is an arithmetic number, because the mean of its divisors is an integer number (1036640).

Almost surely, 2^71526672 is an apocalyptic number.

71526672 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 71526672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124396800).

71526672 is an abundant number, since it is smaller than the sum of its proper divisors (177266928).

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

71526672 is a wasteful number, since it uses less digits than its factorization.

71526672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 152 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 71526672 is about 8457.3442640110. The cubic root of 71526672 is about 415.1031281904.

It can be divided in two parts, 7152 and 6672, that added together give a cube (13824 = 24³).

The spelling of 71526672 in words is "seventy-one million, five hundred twenty-six thousand, six hundred seventy-two".