72077280 has 288 divisors, whose sum is σ = 267859872. Its totient is φ = 16220160.

The previous prime is 72077261. The next prime is 72077281. The reversal of 72077280 is 8277027.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72077281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987324 + ... + 987396.

It is an arithmetic number, because the mean of its divisors is an integer number (930069).

Almost surely, 2^72077280 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 72077280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133929936).

72077280 is an abundant number, since it is smaller than the sum of its proper divisors (195782592).

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

72077280 is a wasteful number, since it uses less digits than its factorization.

72077280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 72077280 is about 8489.8339206371. The cubic root of 72077280 is about 416.1655529435.

The spelling of 72077280 in words is "seventy-two million, seventy-seven thousand, two hundred eighty".