712465920 has 360 divisors, whose sum is σ = 2645649864. Its totient is φ = 177143808.

The previous prime is 712465913. The next prime is 712465927. The reversal of 712465920 is 29564217.

It is an interprime number because it is at equal distance from previous prime (712465913) and next prime (712465927).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×712465920² = 1015215374322892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712465927) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6658507 + ... + 6658613.

Almost surely, 2^712465920 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 712465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322824932).

712465920 is an abundant number, since it is smaller than the sum of its proper divisors (1933183944).

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

712465920 is a wasteful number, since it uses less digits than its factorization.

712465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 712465920 is about 26692.0572455553. The cubic root of 712465920 is about 893.1437532413.

The spelling of 712465920 in words is "seven hundred twelve million, four hundred sixty-five thousand, nine hundred twenty".