724546152 has 192 divisors, whose sum is σ = 2282904000. Its totient is φ = 205286400.

The previous prime is 724546139. The next prime is 724546177. The reversal of 724546152 is 251645427.

It is a happy number.

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

Its product of digits (67200) is a multiple of the sum of its prime factors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1339002 + ... + 1339542.

It is an arithmetic number, because the mean of its divisors is an integer number (11890125).

Almost surely, 2^724546152 is an apocalyptic number.

724546152 is a gapful number since it is divisible by the number (72) 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 724546152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141452000).

724546152 is an abundant number, since it is smaller than the sum of its proper divisors (1558357848).

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

724546152 is a wasteful number, since it uses less digits than its factorization.

724546152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 665 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 724546152 is about 26917.3949705390. The cubic root of 724546152 is about 898.1633953829.

It can be divided in two parts, 72454 and 6152, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 724546152 in words is "seven hundred twenty-four million, five hundred forty-six thousand, one hundred fifty-two".