72377216 has 32 divisors (see below), whose sum is σ = 145115400. Its totient is φ = 35956224.

The previous prime is 72377191. The next prime is 72377257. The reversal of 72377216 is 61277327.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×72377216² = 10476922791821312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19130 + ... + 22598.

Almost surely, 2^72377216 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 72377216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72557700).

72377216 is an abundant number, since it is smaller than the sum of its proper divisors (72738184).

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

72377216 is a wasteful number, since it uses less digits than its factorization.

72377216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3646 (or 3634 counting only the distinct ones).

The product of its digits is 24696, while the sum is 35.

The square root of 72377216 is about 8507.4800029151. The cubic root of 72377216 is about 416.7420188699.

The spelling of 72377216 in words is "seventy-two million, three hundred seventy-seven thousand, two hundred sixteen".