72377440 has 48 divisors (see below), whose sum is σ = 171651312. Its totient is φ = 28839424.

The previous prime is 72377419. The next prime is 72377477. The reversal of 72377440 is 4477327.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72377396 and 72377405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50007 + ... + 51433.

It is an arithmetic number, because the mean of its divisors is an integer number (3576069).

Almost surely, 2^72377440 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 72377440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85825656).

72377440 is an abundant number, since it is smaller than the sum of its proper divisors (99273872).

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

72377440 is a wasteful number, since it uses less digits than its factorization.

72377440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 34.

The square root of 72377440 is about 8507.4931677904. The cubic root of 72377440 is about 416.7424487939.

The spelling of 72377440 in words is "seventy-two million, three hundred seventy-seven thousand, four hundred forty".