71620416 has 224 divisors, whose sum is σ = 249692160. Its totient is φ = 19699200.

The previous prime is 71620411. The next prime is 71620429. The reversal of 71620416 is 61402617.

71620416 = 60³ + 61³ + ... + 131³.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a self number, because there is not a number n which added to its sum of digits gives 71620416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71620411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374881 + ... + 375071.

Almost surely, 2^71620416 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 71620416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124846080).

71620416 is an abundant number, since it is smaller than the sum of its proper divisors (178071744).

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

71620416 is a wasteful number, since it uses less digits than its factorization.

71620416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 71620416 is about 8462.8846145980. The cubic root of 71620416 is about 415.2843959551.

The spelling of 71620416 in words is "seventy-one million, six hundred twenty thousand, four hundred sixteen".