71766240 has 384 divisors, whose sum is σ = 292626432. Its totient is φ = 14376960.

The previous prime is 71766229. The next prime is 71766251. The reversal of 71766240 is 4266717.

It is an interprime number because it is at equal distance from previous prime (71766229) and next prime (71766251).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1354054 + ... + 1354106.

It is an arithmetic number, because the mean of its divisors is an integer number (762048).

Almost surely, 2^71766240 is an apocalyptic number.

71766240 is a gapful number since it is divisible by the number (70) 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 71766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146313216).

71766240 is an abundant number, since it is smaller than the sum of its proper divisors (220860192).

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

71766240 is a wasteful number, since it uses less digits than its factorization.

71766240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 71766240 is about 8471.4957357010. The cubic root of 71766240 is about 415.5660539013.

The spelling of 71766240 in words is "seventy-one million, seven hundred sixty-six thousand, two hundred forty".