71940456 has 96 divisors (see below), whose sum is σ = 227485440. Its totient is φ = 20110464.

The previous prime is 71940443. The next prime is 71940467. The reversal of 71940456 is 65404917.

71940456 = T₄₂₁ + T₄₂₂ + ... + T₇₉₆.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 71940456.

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, 22170 + ... + 25206.

It is an arithmetic number, because the mean of its divisors is an integer number (2369640).

Almost surely, 2^71940456 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 71940456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113742720).

71940456 is an abundant number, since it is smaller than the sum of its proper divisors (155544984).

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

71940456 is a wasteful number, since it uses less digits than its factorization.

71940456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 71940456 is about 8481.7719846740. The cubic root of 71940456 is about 415.9020510271.

The spelling of 71940456 in words is "seventy-one million, nine hundred forty thousand, four hundred fifty-six".