1390072320 has 960 divisors, whose sum is σ = 6469943040. Its totient is φ = 276037632.

The previous prime is 1390072267. The next prime is 1390072339. The reversal of 1390072320 is 232700931.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81768952 + ... + 81768968.

It is an arithmetic number, because the mean of its divisors is an integer number (6739524).

Almost surely, 2^1390072320 is an apocalyptic number.

1390072320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1390072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234971520).

1390072320 is an abundant number, since it is smaller than the sum of its proper divisors (5079870720).

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

1390072320 is a wasteful number, since it uses less digits than its factorization.

1390072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1390072320 is about 37283.6736387390. The cubic root of 1390072320 is about 1116.0383846203.

The spelling of 1390072320 in words is "one billion, three hundred ninety million, seventy-two thousand, three hundred twenty".