7372565406 has 160 divisors (see below), whose sum is σ = 18366289920. Its totient is φ = 2198617344.

The previous prime is 7372565399. The next prime is 7372565407. The reversal of 7372565406 is 6045652737.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7372565407) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15138495 + ... + 15138981.

It is an arithmetic number, because the mean of its divisors is an integer number (114789312).

Almost surely, 2^7372565406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7372565406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9183144960).

7372565406 is an abundant number, since it is smaller than the sum of its proper divisors (10993724514).

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

7372565406 is a wasteful number, since it uses less digits than its factorization.

7372565406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The square root of 7372565406 is about 85863.6442622837. The cubic root of 7372565406 is about 1946.2839953076.

The spelling of 7372565406 in words is "seven billion, three hundred seventy-two million, five hundred sixty-five thousand, four hundred six".